E-Folio Critical Analysis

Introduction

The e-folio assignment for ETEC 533 – Technology in the Mathematics and Science Classroom was one I approached with reservations. I had never blogged before the MET program, and then only as a participant in a class blog. Designing a blog from scratch was both daunting and exciting. The skill set required, from choosing the basic appearance, colour schemes, and text styles to the posting and editing of my thoughts was formidable, but very educational! This final e-folio entry is an analysis of the posts rather than a summary. Throughout the process of blogging certain entries were required, while others were not; nevertheless, certain themes or foci emerged as a result of analysing the legacy for learning assignment. The Tag Cloud was actually quite useful in establishing areas of concentration. One thematic group I will examine is TELE (Technology Enhanced Learning Environments) with 9 Tags. Learning Environment had 6 tags, but is included in TELE. Anchored Instruction had 6 tags, and integration had 5 tags.

Focus Area 1 – TELE

The most heavily tagged focus in my e-folio was TELE (Technology Enhanced Learning Environments). This term is used to describe Learning Environments which are enhanced by the use of any of numerous different technological applications. Through this course we have covered a widely disparate sampling of technologies for the Math and Science classroom. The course assignment that had the most relevance for me was the interview with a colleague. This task required the use of skills garnered in earlier ETEC courses, and was a method in which to gather field-data for the purposes of analysis and reporting. My interview was with a mathematics teacher who heavily incorporates Smartboard technology in his classroom. This teacher had received little formal instruction in the use of Smartboards; rather, he had pursued this knowledge on his own. After several workshops and some mentoring, he is able to effortlessly and efficiently use it as one of his primary instructional tools. For me, this interview was valuable in that it opened my eyes to the importance of learning new technologies and implementing them into instructional activities. It highlighted that while there is not always support at a district or school level, there are avenues to pursue new knowledge, and teacher motivation is key to success. Rather than one blog posting, I split this interview into 2 posts; one focusing on a summary of the interview, and a second focusing on the benefits and hindrances of this technology in class. The process of building the e-folio was multi-purposed at both an assessment level and a metacognitive level. The purpose of the interview was to learn about the technology and how a teacher had implemented it; but the purpose of the act of posting and this further critical analysis was to think about the technology within the domain of our own instructional practices.
A post from the ETEC 533 discussion forum that resonated with me was one made by Jerry Mah.

“In creating “ideal” technology-enhanced learning experiences or environments, I believe there are no set variables. Learning experiences need to be flexible and adaptive; responsive to the growing and changing needs of students” (Mah, 2013, Jan.28).

This is a post that makes sense to teachers; not every student is at the same level, and instruction needs to be differentiated for the disparate levels of student ability in your classroom.
A second area of focus in the TELE tag was The Jasper Series and WISE. The importance of inquiry based learning seems to be of obvious benefit to students and teachers; however, in a February 11 post in my e-folio, I stated:

“Linn, Clark, and Slotta (2002) suggest that inquiry-based practices are not common in today’s classroom. Philosophically, if we are trying to teach students about science, we need to allow them to become scientists and emulate experts in the field (USBSE, 2000; Furtak, 2006). This was something that The Jasper Series offered us, and is one of the tenets underpinning the constructivist learning environment” (Nelles, 2013, Feb.11).

I think that the emphasis put on The Jasper Series and WISE learning environments in both the course required reading and assignments and in my own e-folio gives a false sense of the level of integration in today’s typical classroom. Simply by studying about them and specific case studies of their curricular inclusion leads us to believe that they are more common than they are. In discussions with teaching colleagues, few of them had heard of these resources. Sure, they were familiar with the concept of web-based investigation and anchored instruction, but not specifically these resources. I believe this to be one of the points of the e-folio and this summative examination of our learning: reconciling what we have learned with classroom realities, and beginning a movement toward incorporating these technologies into our classroom practices, or even the larger community at the school level.

Focus Area 2 – Anchored Instruction

The above mentioned The Jasper Series marks a good transition from my primary focus on TELE to a second focus in the e-folio: Anchored Instruction. I specifically mentioned The Jasper Series in 4 different posts. For me, learning about this incarnation of Anchored Instruction was important. I had never heard of this resource before, and was actually surprised it existed “I don’t know how I have never heard of this series! After teaching Math for 15 years I am embarrassed to admit that I am seeing it now for the first time” (Nelles, 2013, Feb.2). A required post to the ETEC 533 discussion forum was on the applicability of The Jasper Series as an instructional tool. Douglas Connery felt that

“how we access, share, create, manipulate and view information has changed dramatically since we embraced the age of the Internet. The Jasper Series was created when the Internet was in its infancy so there is no reference to it even at a Web 1.0 level”( Connery, 2013, Feb.6).

One required posting in the e-folio was a side by side comparison of The Jasper Series and WISE. In the February 12th posting I suggested:

“With the many activities offered in the WISE design, students can view text, animations, movies, pictures, drawings and many other forms of knowledge, from one platform. Students can review, take tests and quizzes, complete questionnaires, and more importantly students can communicate with each other in small groups, and with users in other schools, cities or countries. Different students learn in different ways, and WISE appeals to students with its bright, fast-paced and varied activity platform” (Nelles, 2013, Feb.12).

In a number of posts I extensively referred to Edelson (2001) and Radinsky, Oliva, & Alamar (2009). These authors were crucial to my learning in the area of Anchored Instruction. When I came across Edelson’s (2001) 4 principles:

1. Learning takes place through the construction and modification of knowledge structures.
2. Knowledge construction is a goal-directed process that is guided by a combination of conscious and unconscious understanding goals.
3. The circumstances in which knowledge is constructed and subsequently used determine its accessibility for future use.
4. Knowledge must be constructed in a form that supports use before it can be applied. (p.357)

I found them to make real sense to me. The principles worked in conjunction with his 3 steps (Motivation, Knowledge Construction, and Knowledge Refinement) to give me a solid understanding and heightened appreciation for anchored instruction.

Focus Area 3 – Integration

A third focus area that is evident from my e-folio tag cloud is that of integration [of technology]. With a total of 5 tags, this area was a crucial component of not only the content of this course but also represented most of the time in my interview with a math teacher, and was the topic of my “framing STEM issues” paper. The integration, or as is often the case the lack of integration of technology is directly correlated to the time the classroom teacher has available. “‘[T]ime’ was identified as a persistent barrier by teachers in terms of fitting in curriculum, planning lessons, troubleshooting computer glitches, and teacher training and development” (Wood, Mueller, Willoughby, Specht, & Deyoung, 2005, p.202). As mentioned above, my interview with a math teacher was a primary component of both my e-folio and in my learning in this course. A primary focus of my interview subject was that the level of training on Smartboards was not enough to make him an expert. He graduated from the University of Northern British Columbia, and had a computer science course aimed at classroom implementation of most common programs, but no Smartboard training (Nelles, 2013, Jan. 20).
One student in the ETEC 533 discussion forums consistently stood out for the quality of her posts. She could be counted on for her observations, insights, and helpful comments. In regards to integration of technology in the classroom, Jaime Peters said:

“[t]he role of technology is to enhance the learning environment, not to download facts and information into the heads of the students. Teachers must still use the technology with intention and purpose. The ability to modify the technology is a feature that would allow teachers to construct projects and lessons that meet the specific needs of their students” (Peters, 2013, Mar.4)

In fact, upon further reflection, integration of technology into the classroom seems to be the overarching or meta-theme of my e-folio. I have taught in the classroom for 22 years, and therefore most every folio entry I posted was from the perspective of “what would this look like in my class?” There were some technologies that I explored that I would not likely utilize, for example the MyWorld and WISE learning environments which target science curriculum. Other technologies I explored were directly related to my interests and classroom foci (graphing calculators whiteboards), and I either use them currently or plan on using them in the near future. Several articles I read in preparation for my “framing STEM issues” assignment are referenced in my Jan. 25 e-folio post Refining the STEM Issue. Bennison & Goos (2010), Wood et al. (2005), Monroe & Tolman (2004), and Cooper (2001) were important sources in helping me establish my exact perspective on implementation and barriers.

Conclusion

It is difficult to see themes emerging when at the macro-level of single blog entries and editing html codes to get the desired effect. Only by stepping back and taking in the e-folio as a whole can the patterns or themes be observed. It seems the main purpose of this summative assignment was to get the site authors to look at the entire product rather than finishing the last post and not visiting the project again. The three thematic groups I focused on most consistently were TELE (Technology Enhanced Learning Environments), Anchored Instruction, and integration. I measured the number of times I visited a concept by its inclusion in the tag cloud. Fortunately I had endeavoured to be consistent and logical with my tags, or this would not have been a reliable method.
The exposure students were given to different frameworks, designs, and learning environments throughout the ETEC 533 course was probably the most beneficial component of the course. The readings were relevant and current, which is to be expected in a field that is so young. The readings that I found were most significant to me were: Bennison and Goos (2010) Learning to teach mathematics with technology: A survey of professional development needs, experiences and impacts; Edelson (2001) Learning-for-use: A framework for the design of technology-supported inquiry activities; and Linn, Clark, & Slotta (2003) Wise design for knowledge integration.
I am left with some of the same questions I had when I started the course. From one of my first posts : “[d]oes the packed curriculum really allow us another hour for these kinds of experiments/fun/reinforcing skill sets?”(Nelles, 2013, Jan 13). A second question or issue that I retained for much of this course was teacher’s skill levels with technology. My Jan.20 post focused on a young teacher who quickly picked up the skills needed to effectively introduce and utilize technology in his classroom. But the same post also examined a Video Case file from the ETEC 533 library that featured a teacher close to retiring who stated “I find it frustrating; I don’t have enough time; If I don’t practice it I just forget; and the children know more than I do and learn more quickly” (Learning Environment 4 with Teacher S).
These two questions that I have had since the outset of the course I now take with me at the end. I have read many articles focusing on these issues and have refined the questions and constructed some partial answers. The readings, discussions with ETEC classmates, and assignments within the context of the course have allowed me to move forward on these issues and work towards more effective and meaningful integration of technology into the math and science classroom.

References

Bennison, A. and Goos, M. (2010). Learning to teach mathematics with technology: A survey of professional development needs, experiences and impacts. Mathematics Education Research Journal, 22(1):31-56.

Connery, D. (2013, Feb.6). We should modernize jasper. Message posted to https://connect.ubc.ca/Forum: MB-L1: Anchored Instruction Symposium (Wed Feb 06)

Cooper, D. (2001) Teachers take on technology. Teach, , 30-30. Retrieved from http://search.proquest.com.ezproxy.library.ubc.ca/docview/214500480?accountid=14656

Chen, C.-H. (2008). Why do teachers not practice what they believe regarding technology integration? Journal of Educational Research, 102(1).

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.

Furtak, E. M. (2006). The problem with answers: An exploration of guided scientific inquiry teaching. Science Education, 90(3), 453-467. Retrieved from http://ezproxy.library.ubc.ca/login?url=http://dx.doi.org/10.1002/sce.20130

Learning Environment 4 with Teacher S (Elementary Space Science):retiring teacher [Video file]. Retrieved from https://connect.ubc.ca/bbcswebdav/courses/sis.ubc.etec.533.65a.2012w2.9170/modulea/case4.html

Linn, M., Clark, D., & Slotta, J. (2003). Wise design for knowledge integration. Science Education, 87(4), 517-538. USBSE, 2000;

Lowther, D. L., Inan, F. A., Daniel Strahl, J., and Ross, S. M. (2008). Does technology integration ” work” when key barriers are removed? Educational Media International, 45(3):195-213

Mah, J. (2013, Jan.28). Technology creates flexibility. Message posted to https://connect.ubc.ca/Forum: MB-L0 Design of TELEs (Mon Jan 28)

Monroe, E. & Tolman, M. (2004) Using technology in teacher preparation: two mature teacher educators negotiate the steep learning curve. Computers in the Schools, 09/2004, Volume 21, Issue 1-2, pp. 73 – 84

Nelles, S. (2013, Jan. 13). Auto e-ography: or “walking down memory lane”. [web log comment] Retrieved from https://blogs.ubc.ca/samnelles/2013/01/13/auto-e-ography-or-walking-down-memory-lane/

Nelles, S. (2013, Jan. 20). Interview with a math teacher about smartboards, part 1 [web log comment]. Retrieved from https://blogs.ubc.ca/samnelles/2013/01/20/interview-with-a-math-teacher-about-smartboards/

Nelles, S. (2013, Feb.2). Jasper series and pbl [web log comment]. Retrieved from https://blogs.ubc.ca/samnelles/2013/02/02/jasper-series-and-pbl/

Nelles, S. (2013, Feb.11). Exploring the wise tele [web log comment]. Retrieved from https://blogs.ubc.ca/samnelles/2013/02/11/exploring-the-wise-tele/

Nelles, S. (2013, Feb 12). Becoming a wise guy [web log comment]. Retrieved from https://blogs.ubc.ca/samnelles/2013/02/12/becoming-a-wise-guy/

Peters, J. (2013, Mar.4) TELE synthesis. Message posted to https://connect.ubc.ca/Forum: MB-L5: Synthesis Forum (Tues Mr 05)

U.S. Board of Science Education, (2000). “Inquiry in Science and in Classrooms.” Inquiry and the National Science Education Standards: A Guide for Teaching and Learning. Washington, DC: The National Academies Press,

Radinsky, J., Oliva, S., & Alamar, K. (2009). Camila, the earth, and the sun: Constructing an idea as shared intellectual property. Journal of Research in Science Teaching, 47(6), 619-642

Wood, E., Mueller, J., Willoughby, T., Specht, J., & Deyoung, T. (2005). Teachers’ perceptions: barriers and supports to using technology in the classroom. Education, Communication and Information, Vol. 5, No. 2. (July 2005), pp. 183-206

“Paper Models of Polyhedra” – Resource Sharing and Rationale

“Paper Models of Polyhedra”

One of my favourite parts of mathematics is 3-Dimensional solids. 25 years ago, in my first few years of teaching and well before computers in the class, I had students make Platonic Solid mobiles to hang in the class. The many different sizes, colours and variations made it a really neat project. I spent years building all the Archimedean solids, prisms, anti-prisms, and various other polyhedra. They were great to take off the shelf, pass around, and then have students discuss formulae or approaches to calculating surface area and volume. And the names are fun to say too! “Great Stellated Rhombicosidodecahedron”

Question: why is visualization necessary (or not) for student understanding of math or science?

I have not included the study of polyhedra in my math classroom for years, as I have had a hard time reconciling this study to the time constraints of the curriculum. However; numerous studies have shown that spatial ability is positively related to achievement in mathematics (Battista et al., 1982). It is now becoming possible to model situations visually and geometrically with quite astonishing sophistication (Jones & Mooney, 2003). It is for the benefits to cognitive development that this study should be incorporated into the classroom. Without the ability to engage these visualizations “ the concepts …are often seen as abstractions” (Stieff and Wilensky, 2003, p.285). The ability for students to visualize, and in this case even hold a construct is a valuable one. It is more immediate and less theoretical to actually trace angles and vertices with your fingers, measure side length with a ruler and feel the weight and size of the object in your hands. Cognitive connections can be more strongly afforded by these 3-dimensional polyhedrons.

The website “Paper Models of Polyhedra” features a huge amount of 3-D solids in photographs and nets, and is a great resource for both Elementary and Secondary Math teachers.

References

Battista, M.T., Wheatley, G.H., & Talsma, G. (1982). The importance of spatial visualization and cognitive development for geometry learning in preservice elementary teachers. Journal for Research in Mathematics Education 13 (5) (Nov., 1982), pp. 332-340
Jones, K. and Mooney, C. (2003). Making space for geometry in primary mathematics. In: I. Thompson (Ed), Enhancing Primary Mathematics Teaching. London: Open University Press. pp 3-15.

Stieff, M., & Wilensky, U. (2003). Connected chemistry – Incorporating interactive simulations into the chemistry classroom. Journal of Science Education and Technology, 12(3), 285-302

Embodiment Learning & Gesture

According to Resnick and Wilensky (1998), while role-playing activities have been commonly used in social studies classrooms, they have been infrequently used in science and mathematics classrooms. Speculate on why role playing activities may not be promoted in math and science and elaborate on your opinion on whether activities such as role playing should be promoted. Draw upon direct quotations from embodied learning theories and research in your response.

I think the difficulty with role-playing in science and math class activities law in the logical foundation and analytical approach we take to these disciplines. It is easy to engage in role play in a Humanities class; a certain amount of creativity and imagination is required to engage in this activity. It is at odds with the traditional approaches to math and Science to stress the concepts of creativity and imagination. And yet, a look at the greatest Mathematicians and Scientist will tell us that cold facts and analytical approaches to knowledge are not enough. We need to have an intuitive ability, incorporating creativity and imagination, to excel in these areas.
Zucker et al (2008) investigated whether students would be more successful with probeware and a tailored set of instruction materials. Predictably, there was an increase in student performance: Students who used these materials “showed gains that were statistically significantly higher than students who did not (46). This is not the same as the Nintendo Wii approach – there is no remote sensor that allows us to play tennis or golf; instead, this is an approach to knowledge acquisition that involves a specific set of tools to accomplish the task at hand.
A different approach to embodiment learning is Gerofsky’s examination of gestures that were less consciously controlled; more in the form of “a largely unconscious way for non-verbal communication” (322)

Gerofsky,S. (2010). Mathematical learning and gesture. Gesture 10:2/3
John Benjamins Publishing Company
Resnick, M. & Wilensky, U. (1998). Diving into complexity: Developing probabilistic decentralized thinking through role-playing activities. Journal of Learning Sciences, 7(2).
Zucker, A., Tinker, R., Staudt, C., Mansfield, A., & Metcalf, S. (2008). Learning science in grades 3-8 using probeware and computers: Findings from the TEEMSS II Project. Journal of Science Education and Technology, 17, 42-48