Category Archives: Jasper Series

Analysis Post: A closer look of my ETEC 533 e-Folio

Keywords from every ETEC 533 e-folio post I made:

I have always been a selfishly keen learner.

Selfish, from the perspective that I love to engage in cerebral practices that…

  1. challenge my current thinking;
  2. improve my quality of life and the quality of lives of my loved ones;
  3. keep my career choice fresh and relevant; and
  4. make me less ignorant of the issues facing society and the world, in general.

I am not entirely sure about where my lifelong quest to learn stems from, although I am certain it is not due to solely one event in my life.  Perhaps it has something to do with my parents being educators?  Perhaps I had more positive experiences in school than negative? Perhaps I am a pleaser-type— always wanting to make my teachers and parents, and now husband and children, “proud of me”? Perhaps I have a fear of appearing “stupid”?  Perhaps I just love to learn!

When looking through my e-folio posts for the course, the theme that has surfaced throughout is “student motivation”. I will further sub-categorize this theme by using the most common words from my ETEC 533 e-folio posts, shown in larger font on the above word cloud: (how we) learn and (how we) use.

Student Motivation and How We Learn

My focus early in the course was on student misconceptions. Without question, one of the most influential readings of the course was Vosniadou and Brewer’s “Mental Models of the Earth: A Study of Conceptual Change in Childhood”.  This reading, along with watching “A Private Universe”, really emphasized how students bring in their presuppositions to every learning experience and that their knowledge is situated from needing to explain the world around them (Vosniadou & Brewer, 1002). Prior to this week, I knew that students harbored misconceptions, however, not nearly to the extent that they did and why they did. Understanding that we all have an innate need to explain the world around us, whether it is scientifically based or not, has made me realize that I need to provide more opportunities within my classroom to allow students’ thinking and reasoning to be visible (Linn et al, 2002).

Throughout ETEC 533, situating and anchoring students’ learning has been a key piece that research has shown to foster students’ motivating factors.  The well-intentioned, though outdated Jasper Series week got some of us really excited to anchor learning in real life contexts.  Reading such blog posts that were titled, “Chalk and Talk are Dead” and “Goodbye Rote, Hello Anchored Instruction” exemplify this excitement to an exciting extreme. Although I will not being giving up my digital chalk anytime soon, what I have extracted from the ETEC 533 experience is that teachers of different age groups have different end goals, and hence, different pedagogical approaches, surrounding their practices.

The situated learning strategies that resonated most with me were via LfU (Learning for Use), T-GEM (Technology-enhanced: Generate, Evaluate, Modify) and embodiment. As summarized using Microsoft’s SWAY program:

All of these models naturally incorporate motivational strategies, that help engage students to want to learn.

Ultimately, students need to not only be interested in what they are learning, but they also need to have the appropriate tools in order to make that learning transpire.  Taking into account Scaffolded Knowledge Integration (SKI), in both of the activities that I have produced, incorporating the PhEt simulation for the Gravitation T-GEM and real-time data acquisition apparatus for graphical analysis, every student has an opportunity to make their learning personal and novel (Linn et al, 2002).  This concept also reinforces a key takeaway for students who were in the Spicer and Statford 2001 study analyzing the effectiveness of virtual field trips (VFT).  Students felt that by participating in the VFT, instead of a traditional lecture, that their learning had been personalized, hence they had more opportunity to engage in independent thought. With curiosity piqued (Edelson, 2000), opportunities for relationships to be generated, evaluated and modified (Khan, 2007), and interactions between the student and environment provided (Winn, 2003), self-motivation can be maximized.  In a recent post, I relayed some motivational strategies for educators to invoke:

Perhaps not if you design your practice around a few, simple motivational concepts, as outlined in the paper, “Reality versus Simulation” (Srinivasan et al, 2006):

1.       Design your lessons to “optimally challenge” your students. Like a video game, lessons shouldn’t be too difficult or too easy, for our students to engage with.

2.      Be INTERESTING. There are two key ways:

  • Weave NOVELTY into your lesson. (C+C Music Factory knows this, well.) A very smart person conducted a study that investigated K-1 students’ tendency to utilize scientific language when describing animals.  These budding, young scientists used scientific language more often when describing animals such as legless lizards and hedgehogs than when describing more common animals such as rabbits.

  • Convey a sense of IMPORTANCE and/or VALUE to what is being learned. From my own experience, ever since I began prefacing the Factoring Unit in Math 10 with, “This is the most important unit of the course” language, the unit is no longer one of the weakest units. People seem to take it more seriously when I put it on a pedestal. I also show students where I use it in my Grade 11 and 12 classes, in order to reinforce that this process is not going away any time soon.

Another key reading for myself was Winn’s “Learning in Artificial Environments: Embodiment, Embeddedness and Dynamic Adaptation” (2003).  The importance of coupling students with their environment to foster learning particularly stood out. How can we as educators capitalize on the addictive nature of video games that provide users with appropriate challenge, maximum curiosity, and opportunities to fantasize? Prior to this week, I only considered the affordances of gamification in my pedagogy.  Now, I am considering ways of using the effects of video games within my lessons.

From this post: “Activities that challenge students, pique their curiosity and provide “fruitful” new tidbits of knowledge that can assist them with future problems, are optimal, should the new knowledge wish to be adapted (Winn, 2003).”

From the same post: “As the questions would directly relate to the Vernier activity, students would be able to apply their knowledge the next day, making use of all three mechanisms for adaption of knowledge:

  1. Creating genetic algorithms: the “if-then” rules we construct when interacting with our environment and adapting our knowledge due to collecting “fruitful” information

  2. Rule Discovery: rules would have been crafted during the Vernier activity but then further entrenched by applying the rules to the Peer Instruction questions

  3. Crossover:applying the algorithms and rules in new situations could lead to rules combining into new rules for more complex situations (Winn, 2003)”

Student Motivation and How we Use

Wanting to dive into addressing student misconceptions deeper, I chose this topic as my theme for my annotated bibliography,  “Shut up and Calculate” Versus “Let’s Talk” Science Within a TELE”.   The biggest takeaway from the annotated bibliography was understanding the new roles that educators can be adopting in non-chalk-and-talk learning environments. Previously, the term “Guide on the Side” made me very uncomfortable as my interpretation of what this role entailed was limited to inquiry roles. Now, understanding the merits and dangers of using student-generated analogies (Haglund & Jeppsson, 2013) and stepwise problem-solving strategy (SPSS) (Gok, 2014), will shape my new role as “guide”.

Although I will be putting student-generated analogies and SPSS to the test in the near future, one approach that I have already adopted this semester with all three of my current classes is what I have coined as “Collaborative Quizzing”. In an attempt to create more opportunities to allow students’ thinking more visible, I now allow students to have the option of completing their quiz with a partner. This idea stemmed from our week learning about the WISE platform.  Throughout the platform, inquiry lessons require students to reflect on their learning and to provide opportunities for students to engage with each other about the topic at hand.

From this post: “Personalizing lessons within WISE, conducting class discussions, pushing students to think outside of their comfort zones and acting as the MKO (More Knowledgeable Other) at times, are all important actions and roles for educators to adopt.”

Collaborative Quizzing also came about from watching academically vulnerable students, course after course, year after year, sit through quizzes with their pencils or heads down, or with doodles of sadness strewn throughout their paper. These students will spend 20 to 30 minutes in misery, likely either negatively self-talking or in complete surrender. This is not good use of class time. As a self-described underdog, one of my goals as an educator is to help those who need the most help. So with WISE in my toolbelt and an eagerness to make class time effective, Collaborative Quizzing was born! I am particularly fascinated with the students’ feedback on the process. Overall, the feedback has been positive, and to help meet more students’ needs, I am now making the process voluntary.

As far as assessment is concerned, quizzes did not count for marks in my class, however, what I now do is require all students submit their quizzes after they have corrected their own.  I provide answer keys during the class time and upload the keys onto our Google Classroom, for those students who need more time or for those students who were away. Students receive full marks for fully corrected quizzes, as opposed to how many questions they initially got right. Increased learning interactions with peers not only build on Vygotsky theory, but also LfU theory, in that students are receiving communication directly from their MKOs to aid in the construction of knowledge (Edelson, 2000). It is theoretically possible to then immediately apply the newly constructed knowledge during the quiz and throughout the practice work that the struggling student is likely behind in.

Concluding Thoughts

Perhaps the most significant shift in my pedagogical approach to teaching math and science has been in how I utilize class time. Although five months by post-secondary standards is a very long period of time, in high school, this time is very limited.  During those five months, we teach, reinforce, provide practice time, allow for reading time, show videos, quiz, test, conduct labs, have assemblies, go on field trips, and more.  Like a bedroom closet cannot continually have pieces added to it without being dysfunctional, educators cannot continually add activities to their courses without running out of time. However, at the Grade 10 to 12 level, a reasonable expectation exists that students can and will perform some classroom responsibilities outside of class time.

With the adoption of Google Classroom, I now conduct my labs on Google Docs.  Partners can collaborate outside of class time more easily, allowing for more constructive activities to take place during class time. I have also reduced number of required practice questions with the intent of reducing the amount of in-class “worktime”, freeing up class time for more collaborative reinforcement activities.  Essentially, I am eliminating or reducing individual study activities that are in-class, in exchange for collaborative, technology-enhanced in-class activities.

Photo by Gerberkun courtesy of Imgur.

In an earlier post, I included the following image:

Motivating people to want to learn is a task that is very difficult and at times, impossible, should the approach taken be ineffective.  I do not believe that my grade levels and subject areas allow for students to pick topics that they are interested in, therefore, I need to be creative in how the material is presented and reinforced. I am very eager to take my pre-existing TELEs and make them more “T-GEM”-ized, as I did with “Conquering Mount Gravitation” and more embodied and LfU-ized, as I did with “Life on the Descoast” and “Graph Matching with Vernier”.

What is unquestionably working to my advantage in terms of motivating students to learn in my classes, is that there are not too many teachers in my school that are embracing TELEs. When students come into my class, my approaches are extremely novel and their curiosity and interest receive instant kudos—whether the lessons are effective or not. As I continue to push my personal TELE envelope, I will continue to refine and question my lessons’ effectiveness. Educators are so fortunate to have extremely user-friendly tools available to them, to make this refinement transpire. Theoretically, more educators will adopt TELEs more readily, as more of the early adopters become more fluent.

Soon, “21st Century Learners” will simply be called “Learners”– as they should be!

References
Edelson, D.C. (2001). Learning-for-use: A framework for the design of technology-supported inquiry activities. Journal of Research in Science Teaching,38(3), 355-385.
Gök, T. (2014). An investigation of students’ performance after peer instruction with stepwise problem-solving strategies. International Journal of Science and Mathematics
Haglund, J., & Jeppsson, F. (2014). Confronting conceptual challenges in thermodynamics by use of self-generated analogies. Science & Education, 23(7), 1505-1529. doi:10.1007/s11191-013-9630-5
Khan, S. (2007). Model-based inquiries in chemistry. Science Education, 91(6), 877-905.
Linn, M., Clark, D., & Slotta, J. (2003). Wise design for knowledge integration. Science Education, 87(4), 517-538.
Spicer, J., & Stratford, J. (2001). Student perceptions of a virtual field trip to replace a real field trip. Journal of Computer Assisted Learning, 17, 345-354.
Srinivasan, S., Perez, L. C., Palmer,R., Brooks,D., Wilson,K., & Fowler. D. (2006). Reality versus simulation. Journal of Science Education and Technology, 15(2), 137-141.
Vosniadou, S., & Brewer, W. F. (1992). Mental models of the earth: A study of conceptual change in childhood. Cognitive Psychology, 24(4), 535-585. doi:10.1016/0010-0285(92)90018-W
Winn, W. (2003). Learning in artificial environments: Embodiment, embeddedness, and dynamic adaptation. Technology, Instruction, Cognition and Learning, 1(1), 87-114.

 

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Filed under assessment, collaboration, Constructivism, ETEC 533, Jasper Series, Learning models, LfU, Misconceptions, Peer Instruction, Situated Learning, Vernier Probeware, Vygotsky, WISE

TELE Synthesis: Situated Learning, Jasper, SKI, WISE, LfU, T-GEM

Compare and contrast.

Dare to compare.

Bringing it all together.

However one likes to describe synthesis assignments, few will argue that it is a poor use of time. A chance to revisit each TELE and to create a cohesive thread that can link theory to practice? This is definitely my idea of a “good academic time”!

But how to present?  I’m not one to follow the crowd, unless time is non-existent or I am completely uninspired. In my last course, my group mate utilized Microsoft Sway to present her material for our Project.  I was so impressed with this program, that I was eager to try it myself as soon as I had reason. Woot!  I have reason!!!

 

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Filed under collaboration, Constructivism, ETEC 533, Jasper Series, LfU, Microsoft Sway, WISE

Further Reflections on the Jasper Series

Reading my classmates posts this week both  validated my thoughts and made me think how I could incorporate Jasper methodologies into my practice.   Now that BC Math 10 teachers have had their Provincial Exam shackles removed, there is theoretically time to weave “real world” problem solving into the course. In addition, the new curriculum is noticeably less rigorous– it appears as though for every new learning outcome that has been added, we have “lost” about three.  (Is this a good thing?  Well, that is a completely different blog post to be written…)

Reflections that I have included on classmates posts include:

  1. On Vibhu Vashisht’s post: “To respond to your question, I think that I would like to do a Jasper-esque problem at the end of my course (Foundations/Pre-Calculus 10), once the concepts have been taught and rehearsed. I think that students would really sink their teeth into a “real life” problem that involved concepts from the course and with a group dynamic, everyone at every skill level could participate. The new Math 10 curriculum has a probability component in it now, so devising a problem that incorporates a game would be very cool. Perhaps after trying it out once, I would consider having more through out my course, but I am not prepared to jump in with two feet, at this point.”

  2. On Catherine Servko’s post: “My ultimate point is that when adopting new strategies, I believe it is advisable to not let the pendulum sway to an extreme. So keep some rote learning on the basic skills— ones that are critical to continue in academic mathematics in high school and post-secondary. But then, adopt new strategies that also allow students to receive the socio-cultural, anchored learning affordances. Best of both worlds!”

  3. On Mary Sikkes’ post: “Sometimes, it is hard to NOT overthink things. I think that you should just give the Jasper approach a shot, on a relatively small scale, and then reflect on what went well and what could be adapted for next time. It is kind of like bringing in a new form of technology to your practice— it will likely not be perfect, but it gets the ball rolling, at least!”

  4. In response to  Anne’s reply on my post: “The one time, as a student in grade school, that I dreaded math, was when I clearly did not have the basic skills down pat. I was at the end of my Grade 3 and I was at my third school in that grade. I was so behind the other kids with my times table knowledge. I would feel so dumb because we would sit in groups of three with a student flashing cards and testing us. Public humiliation felt horrible! However, once I caught up in that area, I started liking math again, and really appreciated the fact that with extra effort, I could do as well as anyone. When in Grade 5, Mrs. Wong gave us a challenge to complete all of the questions in the supplemental math text, I took her up on the challenge and was the first student done (and got the first pick off of the prize table!) You could imagine that my basic, fundamental skills were automated and accurate after having completed hundreds of extra questions. I truly believe that Mrs. Wong’s competition is one of two main reasons that I went on in math in university. It allowed me to confidently attack the more difficult problems in every math class in Grade School and set me up to enjoy learning new mathematics. I appreciate that not everyone will respond to rote learning competitions, as I did. But at the end of the day, it really worked for me.”

This week, Catherine Sverko, mentioned the “grey nature” of teaching.  Becoming a “Shades of Grey Educator”, is a time-consuming and at times, overwhelming metamorphosis.  Considering each student as a whole individual, can be messy, because in order to do so, the personal qualities of the individual can not be ignored. Not every educator is prepared to “go grey”, either. A counselor who is on a temporary contact mentioned  to my colleague that she is really enjoying her time at our school because when she approaches teachers to make accommodations for her clients, the teachers actually make them happen without difficulty. Apparently, this is not always the case at other schools.

As individuals, we do not all learn at the same rate, and have the same preferred methodologies. I would speculate that perhaps more than any other subject, students bring an incredible amount of psychological baggage with them into the mathematics classroom. To think that one approach to mathematical learning is going to reach out to every student that enters your room, is optimistic at best.

My ultimate issue with adopting the Jasper methodology as one’s main pedagogical approach in mathematics is that it does not seem to give students enough repetition, to truly learn a particular process. Also, if groups are being utilized, the weaker math students risk being dragged along (happily) by the stronger math students. Can we simply sugar coat a core literacy such as mathematics, in the spirit of having students “like math” more? I do not think this is a wise approach.  To quote a colleague of mine, “In high school, we do not want to sacrifice the top 20 for the bottom 80.”  I think that classrooms that remove the rote components of mathematics are doing just that, in the name of making math “real”, and “fun”.

I am not saying that the math classroom should purely be rote learning.  I am actually quite eager to employ a Jasper style approach as an activity that brings my course to its conclusion. I think that it would serve as an engaging way to review and concurrently have students work together in teams to address a realistic situation mathematically.

As a non-purest, rote-learning advocate, I surely must ask myself, how much rote is enough? That I do not know, although with some research, I may be able to have a definitive answer.  In the meantime, I have come across The Bulletproof Musician’s blog, who espouses that if it takes about 40 repetitions to learn something, then we should aim to 100% “overlearn” (i.e. do 40 additional repetitions) for mastery.

I would estimate that in my own mathematics learning, 100% “overlearning” is about right for me. I am not the sharpest knife in the drawer, however, I am certainly not the dullest, either. For some of us, perhaps 0% “overlearning” is required, and for others, 200%.  If the ultimate goal is to have our students master the concepts, I believe our classroom approach should attempt to accommodate these differences; although who is to say there is only one way to accomplish this?  We do not learn any skills be merely watching others— if this were true, we would all play basketball like Steve Nash.   Learning skills required repetition. Repetition requires perseverance and  will. Should our students not possess both of these qualities, at what point is it OK to say that maybe a career involving academic math is not someone’s destiny? Moreover, should we continue to lower the rigor of our mathematics classes so that the “bottom 80” enjoys math class more?

What do you think?

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My Love-Hate Relationship with the Jasper Series

At the onset, what’s not to love?  Two of the readings that I chose, concluded that students self-reported to enjoying math more, and having less anxiety (CTGV, 1992b; Shyu, 2000). Both readings reported that students’ problem solving skills improved, and I would speculate that the Shyu study would see even larger increases in problem solving skills had the students participated in more than one Jasper Series problem. 

The main issue that the folks at Jasper are attempting to address is that many students are unable to apply microcontext (“end of the chapter”) questions, to macrocontext (“real life”/situated/anchored) problems.  The literature that I read, convinced me of one thing—group work, when orchestrated well, is beneficial to most students.  In “Complex Mathematical Problem Solving by Individuals and Dyads”, the younger, Grade 5 dyads, performed much better than their older (and more mathematically talented) Grade 6 soloists (Vye, 1997). Two lesser-able heads and better than one more-abled, it seems. How great is that???

I am not convinced that diving head first into Jasper methodologies is wise, however.  The entire premise favours a “top to bottom” skills approach, where the focus is on higher level thinking, and to scaffold if and when needed.  In my experience, this is a disastrous methodology to follow to the tee when teaching mathematics.  In order for these higher level problems to be attacked, a base knowledge needs to exist. Otherwise, in the group work, one or two “hot shots” will take the lead, the students who don’t understand a stich, get pulled along, everyone advances to the next level, and sure… Everyone feels good, because the low level students had life jackets on the entire time—of course, they enjoy this approach!

Borrowing a thought from John-Steiner and Mahn’s 1996-piece, “Sociocultural Approaches to Learning and Development: A Vygtoskian Framework”, the authors emphasise the importance of when looking at Vygotskian Theory, to refrain from abstracting portions of the theory, which can consequently lead to “distorted understandings and applications” (p. 204).  To me, the Jasper folks have abstracted portions of constructivist learning strategies, conducted studies using the best math students or studies where groups can make the struggling kids float, and declared, “Hey, we’ve made math fun and relevant!”

Many of us agree that Piaget and Vygotsky had a lot of things right in their constructivist theories.  Both theorists agreed that the material world aids development due to environmental experience (Glassman, 1994). These environmental experiences are often transpiring amongst peer groups, in a social context. Can we not replicate these transformative experiences in our classrooms?

When students possess self-generated motivation to accomplish a task (due to being adequately challenged), constructivist approaches to learning can flourish (vonGlasersfeld, 1983). But here’s the thing… according to Vygotsky, the development of thought requires spontaneous (self-generative) concepts to occur in opposition of non-spontaneous concepts (Glassman, 1994).  Non-spontaneous concepts can occur through peer interactions, however, they can also occur through instruction, from adult MKOs (more knowledgeable others). Vygotsky himself was privately taught by a mathematician who followed the Socratic method. He learned an incredible amount from his parents and his tutor; his own children were brought up in a similar Socratic environment living in a single room house with 11 other people (please refer to the Vygotsky timeline: http://vygotsky2016.weebly.com/).

Ultimately, 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. I believe that rote learning still has its place in mathematics. (Yup. I said it.) If it is the only approach that one adopts, I would ask that person to get with the program, however. We don’t want to kill the beauty of mathematics for our students, yet students moving onto academic levels of math, need to have the skill set, the automated skill set, in order to succeed and actually understand what the heck they are doing.

I’m still looking for that magic pill— it’s a quest worth pursuing, indeed! I suspect that if someone ever DOES find it though, that it will not consist of just one approach.

References:
Cognition and Technology Group at Vanderbilt (1992b). The Jasper series as an example of anchored instruction: Theory, program, description, and assessment data. Educational Psychologist, 27(3), 291-315.
Glassman, M. (1994). All things being equal: The two roads of Piaget and Vygotsky. Developmental Review, 14(2), 186-214. doi:10.1006/drev.1994.1008
John-Steiner, V., & Mahn, H. (1996). Sociocultural approaches to learning and development: A Vygotskian framework. Educational Psychologist, 31(3), 191.
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.
Von Glasersfeld, E. (2008). Learning as a constructive activity. AntiMatters, 2(3), 33-49.
Available online: http://anti-matters.org/articles/73/public/73-66-1-PB.pdf
Vye, N. et al. (1997). Complex mathematical problem solving by individuals and dyads. Cognition and Instruction, 15(4), 435-450.

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Filed under ETEC 533, Jasper Series, Learning models