Monthly Archives: February 2017

Fish Can’t See Water

I found it inspiring to consider the definitions of technology presented in the overview of this module.  The two that resonated most with me were Roblyer (2012) and Muffoletto (1994) because of the common thread they share about technology being less a collection of ‘things’ and more about the integrated practices and behaviours of our culture.  I was reminded of a saying, “fish can’t see water” that comments on human blindness to culture.  I think technology has always been an integral part of our culture.  Some of our technologies are ‘things’: from sticks used by our primate ancestors to take insects from their mounds – to pencils – to networked computing devices.  Other technologies, however, are not ‘things’ in the classical sense.  Language, for example, cannot be defined as a physical object, yet is undeniably a tool we use to enable us in a multitude of ways.  Roblyer and Muffoletto both echo the interwoven nature of technology and human existence in their definitions.

In designing my own TELE, I would want the environment to be suited to my learner’s context – the content would need to be culturally relevant and framed in a way that motivated investigation and inquiry.  The teaching methods would support independent thought, collaboration, and problem solving.

I would want my computer technology doing the jobs that it is best suited to: crunching data, modelling, etc., and the students doing jobs in which they are better than computers: making inferences, extrapolating, problem solving, etc..   The non-computer technology ‘things’ in my TELE would support student manipulation/making in order to cement understanding of their learning.

Finally, I would look for ways to connect computer and non-computer tech.  For example, designing in a 3D modelling space, then using a printer to bring it into real space or writing a program to control a mechanical simulation.

References:

Muffoletto, R. (1994). Technology and restructuring education: Constructing a context. Educational Technology, 34(2), 24-28.

Roblyer, M.D. & Doering, A. (2012). Integrating educational technology into teaching, (5th Ed.). Upper Saddle River, New Jersey: Prentice Hall.

Motivation is key

After reading the articles on anchored instruction and watching the videos, I feel like anchored instruction is deeply rooted in designing a learning experience that motivates students to apply curriculum in a meaningful way to real life problem solving situations that they can related to.  In the Jasper project, the videos were able to provide students with a visualization of a problem to grab their attention and pull them into the problem.  The videos are able to provide students with an opportunity to explore a topic without ever feeling like they were just doing math or science. Gravaso et al (2011) describes how important it is for students to develop an ability to analyze data and develop statistical reasoning skills.  Their study further shows that teacher-centred learning is not always the best approach or a necessary approach to students learning.  Students in the study by Gravaso et al (2011) demonstrated that they were able to solve problems with little teacher intervention.  I’m wondering how anchored instruction is able to adapt to the diversity of learners in the classroom.  I have a class with some students who are super weak in mathematics and some that are quite advanced. In an assignment like the Jasper project, it seems like different videos would have to be given to the same grouping of students. I wonder if a mathematical model to follow for problems solving should be presented prior to commencing anchored instruction. Some student may be motivated to figure out the problem, but some may not even know where to start.

 

Prado, M. M., & Gravoso, R. S. (2011). Improving high school students’ statistical reasoning skills: A case of applying anchored instruction. Asia-Pacific Education Researcher (De La Salle University Manila), 20(1)

Issues with Jasper

I’d like to tackle the first question posted in this week’s discussion activity:

What perceived issue or problem are the Jasper materials responding to? Do you agree that this is an issue or problem? What does the current literature that you have read say about this issue? How is this issue addressed in the design of the Jasper materials? In what ways do contemporary videos available for math instruction and their support materials (c.f. Khan Academy, Crash Course, BBC Learn “Classroom Clips” and “Academic Earth”, video clips in Number Worlds, or others) address or not address these issues?

What perceived issue or problem are the Jasper materials responding to?

Jasper series videos respond to the lack of interesting real world problems in the classroom.  The videos provide a creative way for students to work together and solve complex problems.  The creators even go further and suggest the students are not alone in this adventure by suggesting other schools and other students just like them are trying right now to save the eagle!

Do you agree that this is an issue or problem?

Yes and no. I do agree with the issue that classrooms need to have more instruction that places students in an environment where they have to work together to solve complex problems. However, without the proper support and background knowledge, it becomes just too easy for students to construct the wrong kind of knowledge.  Park and Park (2012) when commenting on Problem-Based Learning (PBL), that is essentially the category the Jasper series falls under, argue that, “…students [fail] to learn essential concepts and principles, leaving them unable to construct the “right” knowledge required to solve real-life engineering tasks” (p. E14).  These researchers criticize PBL in the engineering context because often times students fail to grasp the basic  knowledge, that can lead them to construct knowledge in the group activities that may not even be accurate, let alone help them in any way on their job site.

Dana Bjornson and Darren Low also made great points in the post by Dana on depending on PBL as Dana suggested, “I would urge educators to digest methodologies like Jasper in small quantities.  These approaches are not the magic pill that will solve all of our problems” (Bjornson, 2017). Darren also showed his reluctance in depending on Jasper series completely as he suggested he would be, “…a little more hesitant to use the series solely as a method of teaching a core concept” (Bjornson, 2017).

So in that terms, no, I don’t agree that the Jasper series is the only solution to help students learn.  For the grade five to eight students: it is important to teach them basic math skills first so they have the knowledge to start problem solving on how to save the eagle.

What does the current literature that you have read say about this issue?

Park and Park (2012) assert the claim that PBL helps students become effective problem solvers but warn of “…their ineffectiveness to equip students with the basic and essential knowledge for problem-solving” (p. E17).  On the contrary, there are researchers that are proponents of PBL and the Jasper Series.  The Cognition and Technology Group at Vanderbilt (CTGV), creators of the Jasper series frame the need for this problem-based activity due to “…the concern about existing tests…not [seeming] very authentic” (CTGV, 1992).  They also “…emphasize the benefits of anchoring or situating instruction in meaningful problem-solving contexts that allow one to simulate in the classroom some of the advantages of apprenticeship learning” (p. 69).  Moreover, the CTGV group (1992) explains use of the Jasper series helps “…students and teachers [make] learning more meaningful because they understand when, why, and how to use various procedures, concepts, and skills” (p. 78).  Shyu (2000) conducted a study to ascertain the effects of video based anchored instruction in Taiwanese classrooms, a culture where memorization and studying to the test or exam are highly valued for students to attend the best universities.  Shyu (2000) discovered “…video-based anchored instruction [provided] a more motivating environment that [enhanced] students’ problem-solving skills” (p. 57).  So it appears the literature summarizes that indeed PBL is valuable to teach students problem solving, however, I understand that without basic and background knowledge, first, problem solving may just as easily lead to misunderstandings and misconceptions while trying to construct knowledge on concepts.

How is this issue addressed in the design of the Jasper materials?

The issue of providing interesting, authentic, real world like problems is addressed in the Jasper Series by giving students a story.  A story about saving an eagle that is trapped and can be saved only by using an air plane called ultralight.  The creators give students many different scenarios on gas mileage, gas tank capacity, headwind, and tailwind to help students problem solve at a high level.

In what ways do contemporary videos available for math instruction and their support materials address or not address these issues?

I’m not sure how well Khan Academy or Crash Course are similar to Jasper Series as these materials almost entirely focus on telling the information in a visually appealing way that would help students remember.  They don’t necessarily place students into real world problem situations.  These materials essentially are more for review rather than learning something new.

Question for peer feedback:

Now that we’ve seen the Jasper Series and anchored instruction in action, how would you use it in the classroom? As an introduction to a complex topic or as practice in problem solving after learning some basics first?

Thank you,

Vibhu

References:

Bjornson, D. (2017) My Love-Hate Relationship With The Jasper Series. Retrieved from: https://blogs.ubc.ca/stem2017/2017/02/07/my-love-hate-relationship-with-the-jasper-series/

CTGV. (1992). The Jasper experiment: An exploration of issues in learning and instructional design. Educational Technology, Research and Development, 40(1), 65-80.

Park, K., & Park, S. (2012). Development of professional engineers’ authentic contexts in blended learning environments. British Journal of Educational Technology, 43(1), E14-E18.

Shyu, H. Y. C. (2000). Using video‐based anchored instruction to enhance learning: Taiwan’s experience. British Journal of Educational Technology, 31(1), 57-69.

Problem Solving with Anchored Instruction

The Jasper materials are responding to the perpetual issue of making learning relevant to our students. The Jasper program aims to show students real-life problems that require skills, problem solving, and critical thinking related to the classroom material they are encountering.

Since I became a teacher, I have surprisingly struggled with the teaching of math. This has been surprising to me because I did really well in math all throughout my schooling. In “teacher school” we were shown many new ways of teaching math that branched away from the traditional rote memorization, focusing on there being more than one way to arrive at an answer and sometimes more than one correct answer to a problem; however, bringing this teaching to my grade 3 students in a classroom setting has been a whole other dilemma. In my first year I started following the program, Math Makes Sense. This brought hands-on learning activities, worksheet practice on facts and skills, and some in depth opportunities, however, I was not making it through the units, they took forever! I felt like the only way I could get through them would be to do math all day, but what about teaching reading and writing, and then science and everything else? I have tried other programs, such as Primary Success, which provides a well-rounded curriculum of fact building. I incorporate Mad Minutes because I do see the value in continuing rote memorization of basic facts. I have tried math stations and have seen some positive correlations arise from that system. I do feel I have not encountered something that works as well as I want it too, though.

I found myself with some extra time this week due to 2 snow days (we NEVER have snow days in the Kootenays, by the way, because we are used to getting a lot of snow, but this snowfall has been exceptional!). I was quite energized after the readings and decided to use my extra time to create a set of word problems that I could use with my students. Could I get through my curriculum using problem solving incorporating multiple math topics instead of traditional unit lessons and worksheet practice? The Cognition and Technology Group of Vanderbilt (1992a) states that “students need to develop [component skills] in the context of meaningful problem posing and problem-solving activities rather than as isolated ‘targets’ of instruction (p. 66). I focused on creating these problems to anchor my instruction by making them complex, requiring significant formulation, and having multiple viable solutions that “highlight the relevance of mathematics or science to the world outside the classroom” (Pellegrino & Brophy, 2008, p. 281). I have attempted to achieve this through incorporating the names of my students throughout the problems, investigating daily issues that arise for my students, and further personalizing the problem by using pictures of my students encountering the problem. At first, I thought I would try this out with my students as whole class guided lessons. As I read these articles further, however, I grew to understand the necessity of designing this time to “scaffold learners’ knowledge construction by fostering a community of learning and inquiry,” (Pellegrino & Brophy, 2008, p. 281) as well as allowing for “extended collaborative problem solving across multiple days and multiple activities” (Hickey, Moore, & Pellegrino, 2001, p. 614).

I am very interested in the idea of Legacy projects, too. I find this partners well with my use of a class blog, as I am able to pull up pictures and video of students from previous years to showcase a similar project we may be working on. There seems to be a pull towards making a video for students, too, that is motivating and seems to draw many of them into the project as well, perhaps as the authors state, because it “helps them see themselves as part of a community whole goal is to teach others as well as to learn” (Pellegrino & Brophy, 2008, p. 293).

The readings this week and the investigation into Jasper leaves me with wheels turning towards what my possible TELE project could be at the end of this course. I look forward to continuing to explore this area.

 

Cognition and Technology Group at Vanderbilt. (1992a). The Jasper experiment: An exploration of issues in learning and instructional design. Educational Technology Research and Development, 40(1), 65-80.

Hickey, D. T., Moore, A. L., & Pellegrino, J. W. (2001). The motivational and academic consequences of elementary mathematics environments: Do constructivist innovations and reforms make a difference? American Educational Research Journal, 38(3), 611-652.

Pellegrino, J.W. & Brophy, S. (2008). From cognitive theory to instructional practice: Technology and the evolution of anchored instruction. In Ifenthaler, Pirney-Dunner, & J.M. Spector (Eds.) Understanding models for learning and instruction, New York: Springer Science + Business Media, pp. 277-303. http://link.springer.com/chapter/10.1007%2F978-0-387-76898-4_14

Highlights and Impressions of “Jasper Woodbury”

When I first began watching the videos from the Jasper series, I worried that the series would be too difficult and would cause more anxiety and feelings of being overwhelmed by math, than positive outcomes. However, as I read the associated articles and re-watched the videos, I realized that the series provided many opportunities students needed to allow them to learn perseverance, resiliency and deep-thinking in relation to “real-life” problems. Through a series like Jasper Woodbury, students are given a fairly unique opportunity to use student-based learning, to develop inquiry skills, and to develop problem-solving skills to tackle multi-leveled questions. Rather than simply focusing on one aspect of a math curriculum, or on only computational skills, students are presented with scenarios that require them to ask questions and use conceptual and procedural, as well as computational, knowledge to solve “real life” problems. As an educator, I would be interested in implementing a video series like “The Adventures of Jasper Woodbury” to see how students respond in terms of engagement, motivation, and understanding of abstract concepts. It would be interesting to see how the use of technology would support students, or whether there would be difficulties that hinder students who are less familiar or comfortable with technology. I have a student who is on the Autism Spectrum and who struggles significantly with academics. This student would likely benefit from the oral delivery of information, but could potentially become very frustrated with the technology delivering the information to him; for example, if he were attempting to re-watch a scene, but was struggling to find the correct “part” he was looking for. I do also question how effective the Jasper series would be for students who struggle with auditory processing and sequencing. One thing I really liked about the Jasper series was the fact that students would be encouraged to watch and work together, developing collaboration skills that are essential in today’s world.

As far as becoming a potential TELE designer, “The Adventures of Jasper Woodbury” series brings up many important questions around student-centred learning, engagement, and problem-solving experiences. As I consider what a program I might develop would look like, I am drawn to the idea of a series that is more student-centred. There are many memes today that poke fun at math problems of the past which asked students to figure out questions to the effect of: how many watermelons would Sally have if she bought 23 watermelons on Monday and five additional watermelons each day for one week. Questions like this are not only foreign to students because they cannot link their own life experiences to the question, they also do not promote the deeper-level thinking required by the problems presented in the Jasper series. If I were to design a series in a similar format to “The Adventures of Jasper Woodbury,” the first thing I would need to determine would be what scenarios would be more engaging for my students. I would also want to be aware of including cultural content in my video as I have many First Nations students in my class. In addition to this, I would want to develop scenarios that would appeal to both boys and girls in my class, and that students from households of all income-levels could connect to. As was discussed in my initial response to the Jasper series (titled “Adventures with Jasper and Math”), I believe the best approach to creating videos might be to have students design their own videos. This would not only have them involved in the development process of video creation, it would also allow them the opportunity to approach the math problems from the “other side” giving them a new way (perhaps) of viewing math problem-solving. If students know that they have created videos for each other, they may feel less overwhelmed, as well as excited about the idea of solving a problem created by a friend or classmate.

Ultimately, I felt that “The Adventures of Jasper Woodbury” provided an innovative (although not new as it was created many years ago) approach to involving students in their own learning, and connecting math to real-life experiences though video and multistep problem-solving, allowing students to prepare for the future in a variety of ways. Math was no longer simply about math. Math became about life.

Adventures with Jasper and Math

I had never heard of “The Adventures of Jasper Woodbury” series before this week’s section on Anchored Instruction, and while the videos are out-dated and would not necessarily appeal to students in classrooms today, I can certainly appreciate the inquiry, abstract thinking, and collaboration that the series promotes for students. While we have programs today to support these skills, many math lessons/classes continue to look more like the traditional math lessons/classes of the past with some new approaches mixed in. As was brought up in numerous posts this term, two major difficulties are the lack of teacher knowledge about programs like Jasper that could be integrated into the classroom, and the lack of training to enable teachers to integrate new programs and digital technologies. As the Cognition and Technology Group at Vanderbilt (1992) point out, “…mathematics classrooms need to shift from an emphasis on the teacher imparting knowledge to one in which students attempt to use their current skills and knowledge to approach problems to be solved (e.g., Charles & Silver, 1988; NCTM, 1989; Schoenfeld, 1985, 1989; Yackel, Cobb, Wood, Wheatley, & Merkel, 1990)” (p. 67). Rather than having teachers transfer knowledge, students must be given the opportunity to explore more abstract concepts through their own observations and experiences, allowing for a more student-centred, constructivist approach to learning. As Hasselbring et al. point out, all students “need to acquire the knowledge and skills that will enable them to figure out math-related problems that they encounter daily at home and in future work situations.”

I worked for eight years as a learner support teacher in a secondary school setting. For the majority of the students I supported, the most difficult subject was math. I believe this was true for a variety of reasons. To begin with, many of the students had never been able to master basic facts fluency, which of course meant they were struggling with basic computational skills before they even started the abstract concepts covered in secondary math courses. Hasselbring et al. (2006) discuss the fact that “the research on computational fluency suggests that the ability to fluently recall the answers to basic math facts is a necessary condition for attaining higher-order math skills” based on the fact that “all human beings have a limited information-processing capacity.” Secondly, math was the subject that we found the most difficult to support with strategies and technologies to help students find success. For example, in English courses, if a student struggled with reading, we could use a reading program, like Kurzweil, to read texts to the student and we could access thousands of texts through online databases like ARC-BC, allowing students to have access to the same texts as their peers through digital devices. Similarly, if a student struggled with written output, we could set them up with a program like Dragon Naturally Speaking, or another voice-to-text program, to allow them to record their thoughts on paper, providing them with the ability to work independently alongside their peers. However, when students struggled with math, we often felt at a loss about how to support them, past sitting beside them and working through problems step-by-step. Gersten et al. (2009) identify many areas of concern for students with learning disabilities including “word problems, concepts and procedures involving rational numbers, and understanding of the properties of whole numbers such as commutativity” (p. 1233). When I worked in learner support, every student in Math 10 (in B.C.) was required to take a provincial exam – this was required to pass the course. The only accommodations we could offer students with learning disabilities were additional time and a calculator for all sections. Additional time is only helpful if it can be used effectively; a calculator is great for computation, but is no help at all if procedural or conceptual knowledge is what the student struggles with.

As I learned about the Jasper Woodbury series, I kept thinking back to my time spent in learner support and about what I could do differently now, as an elementary school teacher, to help prepare my current students for secondary math when they reach that level. One thing that really struck me was the fact that I think I tend to “coddle” my students due to the difficulties they have (I have many students with learning difficulties, learning disabilities, and from very low-income homes where basic needs are often not met before they arrive at school). As I read the articles and studies, I found myself thinking about how I could incorporate more structured learning if I were to use the Jasper series (much like the structured exercises presented by the Cognition and Technology Group at Vanderbilt (1992) in Figure 1, p. 75); however, it is pointed out that “it is suspected that ‘structured problem-solving’ (Model 2) will lead to excellent mastery of the solution to the specific Boone’s Meadow problem. Nevertheless, observations of classes of students using these worksheets makes it clear that, even when students sit in groups (with one worksheet per group), the interactions among them are minimal and are confined to fact finding and computation” (Cognition and Technology Group at Vanderbilt, 1992, p. 76). In thinking more about this, I began to consider the fact that mathematics is going to be overwhelming for many students at some point in their lives. So why not give students the opportunity to adjust to this feeling of being overwhelmed in a safe, elementary environment, and to understand that they have the ability to use their individual and collective knowledge to problem-solve their way through a series of difficult, multi-step math problems, rather than over-scaffolding at an early age only to have that scaffolding suddenly removed as they get older.

While I found the videos engaging, I would be interested in finding out how students with auditory processing difficulties did with understanding information and instructions given through the videos. For myself, I found the videos that discussed topics I was familiar with (i.e., swing sets, sandbox, graphing height) were videos I could follow relatively easily. However, some of the videos that discussed details of “Rescue at Boone’s Meadow” I found myself re-watching to try to figure out the procedure. I am a very hands-on learner myself and I have difficulty with following instructions given orally. When I watched the whole “Rescue at Boone’s Meadow” video, I found there was an incredible amount of information that students would have to identify although they could replay the video as often as needed which would certainly help. However, the Cognition and Technology Group at Vanderbilt (1992) pointed out that the story was linked to “realistic problems” which would make the information “easier to remember,” “more engaging,” and would “prim(e) students to notice the relevance of mathematics and reasoning to everyday events” (p. 69). In addition to this, they highlight the fact that the video format of the series is “especially helpful for poor readers, yet can also support reading” (p. 69). Perhaps I need to stop worrying about how hard the students would find the assignments, and concentrate more on how to support them in their journey towards successful problem solving!

Today, I can certainly see my students becoming more engaged in math class if videos of a similar style were created. If I were to develop a portion of my math curriculum to align with the Jasper series, I think I would actually have students create their own videos in groups to deliver to their peers. I would create two (perhaps more) videos first to demonstrate and we could work together as a class on the first and then in smaller groups on the second. Students would then begin to plan and develop their own videos which we could rotate through groups so that each group had the opportunity to work through each peer group’s video. I think the fact that peers created videos would add to the motivation and engagement of students as they completed the problem solving each video entailed. By allowing students to experience abstract math concepts through “real-life” problem-solving situations that they had created, engagement and motivation would likely increase and students would be given an opportunity to work collaboratively with peers to address difficulties as a team, rather than as individuals.

References:

Cognition and Technology Group at Vanderbilt. (1992). The Jasper experiment: An exploration of issues in learning and instructional design. Educational Technology, Research and Development, 40(1), 65-80.

Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202-1242.

Hasselbring, T. S., Lott, A. C., & Zydney, J. M. (2006). Technology-supported math instruction for students with disabilities: Two decades of research and development. Washington, DC: CITEd, Center for Implementing Technology in Education (www.cited.org). Retrieved from: http://www.ldonline.org/article/6291/

a problem worth solving

The Jasper series attempted to situate problem solving within authentic situations.  If I were to create my own math or science adventures, I would follow some of the same principles.  However, my main goal would be to create a problem captivating and relevant enough to my students that they would be motivated to learn something new and difficult in order to solve it.

From a Constructivist perspective, I would attempt to include confounding information that would spur students to either assimilate or accommodate the new information into their existing schemas (Piaget, 1973).

I would also aim to create videos where the problem was complex enough to allow for multiple methods and perspectives to add value to the process.  Kim & Hannafin’s (2011) suggest a model of problem solving through Identification, Exploration, Reconstruction, Presentation, and Reflection that fits well with this goal.

The structures above are important considerations, but the context/culture are also key to creating something effective.  The main challenge of creating a math or science media experience is creating a problem worth solving to the students.  Factors like relevance/meaning in the student’s life and safety/trust in the learning environment play an important role in making a question worth answering or not.

When Jasper was created, video production was not as accessible as it is today, and the creators did an admirable job trying to create adventures that were relevant and fit with a wide audience of learners.  Now that making a video is so much easier, I would move away from making trying to reach a large audience.  The technology available now can be leveraged to create problems tailored to the learners – to their personal context, experiences, and interests.

 

References

The Jasper Series as an Example of Anchored Instruction: Theory, Program Description, and Assessment Data. (1992). Educational Psychologist, 27(3), 291-315.

Kim, M.C. & Hannafin, M.J. (2011).  Scaffolding problem solving in technology-enhanced learning environments (TELEs): Bridging research and theory with practice Computers & Education Volume: 56   Issue: 2

Piaget, J. (1973). To Understand is to Invent: The Future of Education. New York: Grossman Publishers.

Anchored Instruction & The Jasper Series

The Jasper series uses context-specific stories (“anchors”) to serve as a guide for problem solving.  Anchored instruction, in the Jasper series, uses interactive video clips stored on a videodisc and accompanying physical items (such as maps) to help students with problem solving by presenting to them a situation.  Anchored instruction and examples such as the Jasper series help to support learning by providing meaningful, real-world contexts to math concepts as well as a way to scaffold complex problem solving.  The authors note that Jasper provides generative learning; a way for students to regularly use their current understanding to connect and construct new knowledge.  

As technology has improved vastly since Jasper’s invention, there are now ways to further enhance Jasper’s effectiveness.  For example, the amount of data that can be stored on a flash drive many times greater than that of the videodiscs the researchers used.  This would allow for many more or longer videos, providing opportunity to develop more engaging and deeper problems for students to view.  It would also be quite the experience for the students if anchored instruction were to take place in virtual reality.  This would allow students to explore the environment that the problem is situated in, perhaps looking for clues or manipulating objects to learn more about them.  In addition, the researchers noted that another benefit of the Jasper series was the embedded data in the problems themselves, and virtual reality would allow even more data to be shown when a student examines an object.

In particular, the object manipulation will be extremely useful in math learning.  Particularly in junior grades, many math concepts focus on objects and their characteristics such as surface area and volume which lends itself well to augmented or virtual reality manipulatives.  As they progress into senior math with more abstract concepts, dynamically changing graphs will allow students to alter equations and see, in real-time, the effects on the graph to better understand the patterns and relationships between values.

However, the Jasper method is not without fault.  Its narration still feels as if someone is reading a word question from a textbook, but overlaid on top of visuals.  Perhaps relaying the information (such as the plane’s fuel tank size) in dialogue between the characters in the video, as opposed to narrating it, may have it feel more natural.  Also, aside from its somewhat dated delivery method, one aspect that may be limiting is that the videos do not provide any feedback or ability to adapt to students’ progress.  For example, assessment of alternative solutions would have to be done by the teacher, but an expanded, interactive virtual reality environment may allow students to test solutions and self-assess their viability and validity.  But the concept of provide an interactive space to “anchor” student learning is one worth considering.

 

References

Cognition and Technology Group at Vanderbilt. (1992). The Jasper experiment: An exploration of issues in learning and instructional design. Educational Technology, Research and Development, 40(1), 65-80.

Thinking Out Loud – A Conversation on Anchored Instruction

Alongside the writing on The Jasper Series by Cognition and Technology Group at Vanderbilt (1992) , Shyu’s (2000) research on implementing video-based anchored instruction in Taiwan, and Vye, Goldman, Voss, Hmelo and Williams’ (1997) research on middle school students and college students working through The Big Splash, are considered in the following response.

 

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Anchored instruction is based on the theories of situated learning, cognitive apprenticeship and cooperative learning with the aim to enhance student problem-solving skills (Shyu, 2000). Anchored instruction largely involves generative learning. CTGV (1992) describes generative learning, by quoting Resnick and Resnick, as necessary for effective learning. Concepts and principles “have to be called upon over and over again as ways to link, interpret, and explain new information” (p.67). Anchored instruction situates “the instruction in meaningful problem-solving contexts that allow one to simulate in the classroom some of the advantages of apprenticeship learning (CTGV, 1992, p.67).  As well, anchored instruction focuses on cooperative learning which allows for the construction of ‘communities of inquiry’ – a space for students to grow understanding through discussion, explaining, and reasoning or argumentation (CTGV, 1992; Vye et al., 1997).

One of the important nuances of anchored instruction specifically evident in the research of Vye et al. (1997) is the effectiveness of thinking out loud. In their research, two experiments were completed, the first with individual students and the second with dyads or partner groupings. In both experiments, the students were asked to perform their thinking out loud. In the first experiment, the student did not participate in any dialogue with another student, instead verbalizing ideas in monologue style. In the second experiment, the students participated in reasoning, or arguments, to reach a solution, consisting of both agreements and disagreement. The success of problem-solving through reasoning in a dyad setting is attributed speculatively to the active expressing of ideas and thinking verbally, and the monitoring of reasoning and problem solving ideas by the partner. Furthermore, the data showing goal and argument linkages indicates that “goals tend to be followed by arguments and argumentation often leads to new goals” (p.472). Interestingly, the data related to the types of arguments indicated that 33% of the arguments were positive in agreement, while 67% were negative, or disagreements, both of which often lead to a new goal (Vye et al., 1997). Considering this thinking out loud aspect of anchored instruction is transformational for math instruction in general, as math problem solving traditionally is completed visually on paper, on a technology screen, or mentally – in silence.  One math resource by Sherry Parrish (2014) that I have recently acquired is entitled Number Talks: Helping Children Build Mental Math and Computation Strategies. Although digital technology is not a component of this K-5 curriculum {except for a CD-Rom with number talk sessions to instruct teachers on how to implement number talks), the physical act of talking, communicating ideas, reasoning and recognizing that there are many ways to solve a problem are premised throughout. A similar resource for grades 4-10 by Cathy Humphreys and Ruth Parker (2015) is entitled Making Number Talks Matter. Both of these resources do incorporate problem solving, but not in the same way as the video-based anchored instruction highlighted in the readings – problem solving is very much computational, rather than real-life scenarios and these math talk conversations and problem solving are dependent on access to previous knowledge, rather than generating knowledge through the problem solving. However, both math talks and anchored instruction do include ‘talking about math’, allowing for misconceptions to come to light and for students to better understand the why, when and how of mathematics. When a student is able to speak their understanding, that understanding becomes theirs to own, and becomes a tool through which they are now learning.

In closing, Vye et al. (1997) mention other problem solving enrichments that have been established by others. Following is a collected list of further inquiry readings. These readings are referenced on p.479.

Problem Solving Reading List

 

 

 

 

 

References

Cognition and Technology Group at Vanderbilt (1992). The jasper experiment: An exploration of issues in learning and instructional design. Educational Technology Research and Development, (40), 1, pp.65-80.

Humphries, C. & Parker, R. (2015). Making number talks matter: Developing mathematical practices and deepening understanding, grades 4-10. United States of America: Stenhouse Publishers.

Parrish, S. (2014). Number talks: Helping Children Build Mental Math and Computation Strategies. Sausalito, California: Math Solutions.

Shyu, H.-Y. C. (2000). Using video-based anchored instruction to enhance learning: Taiwan’s experience. British Journal of Educational Technology, 31: 57–69. doi:10.1111/1467-8535.00135

Vye, N., Goldman, S., Voss, J., Hmelo, C., Williams, S., & Cognition and Technology Group at Vanderbilt. (1997). Complex Mathematical Problem Solving by Individuals and Dyads. Cognition and Instruction, 15(4), 435-484. Retrieved from http://www.jstor.org/stable/3233775

 

Anchored Learning and Jasper Woodbury

It has been my experience that although students may know how to solve a series of directed problems in mathematics given a formula or strategy, they have a difficult time taking that knowledge and applying it in a realistic situation. The Jasper Series attempts to move students beyond the basic component skills regularly taught in the classroom, to the higher level problem solving and generative thinking. In other words, students must learn to identify and define issues and problems on their own rather than simply respond to problems that others have posed for them (CTGV, 1992). The video series provide stories with embedded information needed to solve the problem the story poses. The information is often given within the dialogue, rather than explicitly with demonstrations, although this is also evident. This requires the students to analyze which information is important for them to use to solve the problem.

One of the positive aspects of this model is that the videos can be accessed by anyone, and most students will be able to glean information from the story, allowing all students to participate in the activity. There are many entry points for students at varying academic levels. Where some students are quite capable of thinking about Bernoulli’s principle and weight payload of the ultra-light, other students could easily measure the distance on a map. The beauty also lies in the affordance of the students to use their own strategies to come up with a solution, not an answer. There could be many solutions to the problem which takes away the notion of right and wrong, which allows students to take risks with their learning. Unlike other videos such as Khan Academy which are much more didactic in tone, telling the students what they need to know, rather than letting them discover it for themselves.

Although the Jasper videos are somewhat dated, the problems and solutions are still very relevant today. One thing that I thought might be interesting for older students to demonstrate their mathematics knowledge would be for them to create similar video scenarios, either for their peers or for younger students, following a similar format, and posing a challenge at the end. A project for the future perhaps.

References

Cognition and Technology Group at Vanderbilt. (1992). The Jasper experiment: An exploration of issues in learning and instructional design. Educational Technology, Research and Development, 40(1), 65-80.

Shyu, H.Y.C. (2000). Using video-based anchored instruction to enhance learning: Taiwan’s experience. British Journal of Educational Technology, 31(1), 57-69.