Constructing Constructivist Curricula

Philip Flip Kromer with Oswaldo, Lizzy, and Chase
Thomas Hills' Knowing and Learning Course
April 28, 2005

The Challenge

In this course we have learned much about how people think, learn, and change their minds; and we have learned how this knowledge informs a theory of learning known as Constructivism. Constructivism's central insight is that “learning that occurs when students own and are involved in inquiry, investigation, and discovery is defferent, more in-depth, more enduring, and much more powerful than what occurs in a traditional classroom” [Marlowe & Page, Creating and Sustaining the Constructivist Classroom 1998]. The focus shifts away from having teachers divulge material and impart knowledge, to instead having students learn material and construct knowledge.

This shift in focus suggests a wide array of changes to instructional practice. A beginning or a traditional teacher may expect to receive a traditional (non-constructivist) curriculum such as AISD's IPGs. Our challenge was to find resources and strategies to help a teacher prepare a fully constructivist curriculum. Such a curriculum had to also

As these goals are somewhat at variance, this is a difficult problem.

Constructivist Principles

In a constructivist classroom, “a teacher does not stand and deliver most or even much of the content material. Rather, students uncover, discover, and reflect on content and their conceptions of such through inquiry, investigation, research, and analysis in the context of a problem, critical question, issue or theme. Students gain and are encouraged to develop through these processes the abilitiy to think for themselves, and to think critically; that is, to discriminate between the relevant and the irrelevant, to look at issues from different perspectives, to interpret and analyze written and electronic data, and ... to 'detect crap.' Constructivism focuses on in-depth understanding, not regurgitating and repeating back.” [Marlowe & Page 1998]

We can uncover four general principles of constructivist teaching:

(Synthesized from [Driscoll, Psychology of Learning for Instruction (2000) (quoted in ERIC Digest)], [Driscoll, “How People Learn (and What Technology Might Have To Do with It)” (2002)], and [Brooks, J. & Brooks, M. In Search of Understanding: The Case for Constructivist Classrooms (excerpt in ERIC Digest) (1999)])

Stop for a second and look at the IPGs. What do you think is or isn't constructivist about teaching to the IPGs? In my opinion, they have integrated some emphasis

Changes

These principles suggest changes in how students learn and teachers teach:

Since our project is exploring curriculum – the day-to-year plan for the classroom – we will only discuss resources for tackling the first three points.

Lesson and Activity Resources

Mathematics Resources

Site

Meta-Index of Constructivist Resources

http://gse.uml.edu/lebaron/ppsites2.htm

Houghton Mifflin Eduplace - Search for Activities by Topic

http://eduplace.com/activity/

Index of Lesson Plan sites

http://www.mathforum.com/algebra/alg.sites.html

Lesson plan repository

http://www.mathforum.com/algebra/alg.lessons.html

Single-Concept lesson plans

http://www.iit.edu/~smile/mathinde.html



Case-study based instruction

http://tcct.soe.purdue.edu/casestudies/

Technical Computing tools

http://www.mathtools.net/Learning_and_Education/index.html

Geometer's Sketchpad : interactive, exploratory geometry software

http://mathforum.org/dynamic/sketchpad.links.html

Cabri Geometry : interactive, exploratory geometry software

http://mathforum.org/dynamic/cabri.links.html

Free or low priced resources for education

http://members.inteliport.net/~phophetess/Mathematics.htm


Biology Resources

Site

The Educator's Reference Desk

http://www.eduref.org/cgi-bin/lessons.cgi/Science/Biology

Biology Lessons for Practicing Teachers

http://www.biologylessons.sdsu.edu/ta/toc.html

RNA Interference Animations

http://www.nature.com/focus/rnai/animations/animation/animation.htm

Biological Animations

http://science.nhmccd.edu/biol/bio1int.htm

Simulation Animations

http://archive.ncsa.uiuc.edu/SDG/DigitalGallery/DG_science_theater.html


Physics Resources

Site

Extended Explorations using hands-on problem-solving activities to teach fundamentals of technology.

ProBase (Illinois State)

Resource of ideas and methods for constructivist physics teaching in the form of videos experiments, learning cycles and pre and post test questions

http://paer.rutgers.edu/PT3/index.php

Kinematic Models

http://www.metafilter.com/mefi/41317

Equipment for Hands-on Physics Investigations

http://www.arborsci.com/CoolStuff/Archives.htm





Curricula

Review

Site

Technology-Based Curriculum

http://www.simcalc.umassd.edu/curriculum/sample/

Constr'st lessons for California Mathematics Framework

http://score.kings.k12.ca.us/lessons/welcome.html

Site selling “Innovative Curriculum Materials”

http://www.enc.org/features/focus/archive/innovate/resources_v6n1/h_science/

An inquiry-based science curriculum
for kindergarten through sixth grade

http://hea-www.harvard.edu/ECT/index.html

Tenet: Resources in Science Content and Curriculum

http://www.tenet.edu/teks/science/resources/index.html?cur

Micro vs. Macro

One way to adopt a constructivist curriculum is to apply constructivist principles at a day-to-day level. You could examine all the topics that need to be covered, choose well-situated activities that allow a student to explore each topic, and conduct those activities within a classroom community of learners. This would certainly be a major step forward, but you'll miss a major opportunity.

In the real world (whether it's the real world of carpenters and checkbook-balancers, or the real world of algebraic topologists and bioinformaticists), problems don't arise in neat bundles that are categorized and restricted by topic, they involve multi-step reasoning across subject and level boundaries. Reasoning about the diffusion speed of DNA strands in gel electrophoresis requires application of arithmetic and algebra, and understanding of rate-and-time problems, the atomic hypothesis, the chemical and biological makeup of DNA, and electric charge and force. A truly constructivist curriculum should include rethinking the course organization at a macro level.

For example, a traditional physics curriculum would begin something like this:

The micro-constructivist approach would confront each topic in turn, using constructivist techniques. For example, students could explore the relationship among distance and speed using stopwatches or CBL graphing calculators. Each topic would be contained within a self-contained, discovery-based lesson or two.

In a macro-constructivist classroom, over several weeks each student for example could design, build, and test a model racecar (or elevator or robot or...). Students would meet each topic as it naturally arose: for instance, while exploring unpowered ('pinewood-derby') cars rolling down a ramp, the topics of gravity, speed and acceleration. They might meet problems that entangle several topics: choosing tires and wheels for a powered robot or racecar can lead to discussions of force and torque, friction, top speed, gear ratio, and mechanical strength. This is good. Once students see a topic crop up repeatedly in the context of different problems they want to solve, they will want to see the general approach and will be prepared to make the requisite connections.

Conclusions

It was fairly easy to discover resources that would allow a day-to-day adoption of constructivist principles. For each topic in the IPGs or a similar traditional approach, the links above give imaginative activities that will allow students to investigate and build their own understanding. However, it was very difficult to find coherent, constructivist curricula spanning a whole course – an integrated set of lessons and materials that clearly indicate where and how they meet standards and testing requirements.