Philip Flip Kromer with Oswaldo,
Lizzy, and Chase
Thomas Hills' Knowing and Learning Course
April 28, 2005
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
Meet professional standards (such as NCTM Standards),
Cover the full range of material in the alloted time
As these goals are somewhat at variance, this is a difficult problem.
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:
Learning occurs in context –
activities are situated in “complex, realistic, and relevant
environments.”
Teachers should adopt valuable strategies
from apprentice instruction.
Teachers should identify what areas
students are experts in and capitalize on that expertise
Forge
connections with everyday tasks, other classes, and future topics.
Emphasis on Discovery –
Encourage and accept student autonomy and initiative.
Use raw
data and primary sources, along with manipulative, interactive, and
physical materials.
Encourage student inquiry by asking
thoughtful, open-ended questions and encouraging students to ask
questions of each other; seeking elaboration of students' initial
responses; and allowing significant wait time after posing
questions.
Learning is social – students
and teachers form a Classroom Community that “encourage
ownership in learning.”
Allow student responses to drive
lessons, shift instructional strategies, and alter content.
Encourage and accept student autonomy and initiative.
Inquire
about students' understandings of concepts before sharing their own
understanding of those concepts.
Encourage students to engage
in dialogue, both with the teacher and with one another.
Learning is reflective –
instructors should “nurture self-awareness of the knowledge
construction process”
Engage students in experiences that
might engender contradictions to their initial hypotheses and then
encourage discussion.
Provide time for students to construct
relationships and create metaphors.
(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
These principles suggest changes in how students learn and teachers teach:
Discovery-based lessons
Situate and Provide context
Community learning: Group work; More student explanation; Students teach to & learn from others.
Change instructional technique
(questioning
style; emphasis in assessment shifts to process, not outcome)
Shift approach to classroom management
(emphasis on community; students become stakeholders in course
development)
Reevaluate assessment
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.
|
Mathematics Resources |
Site |
|---|---|
|
Meta-Index of Constructivist Resources |
|
|
Houghton Mifflin Eduplace - Search for Activities by Topic |
|
|
Index of Lesson Plan sites |
|
|
Lesson plan repository |
|
|
Single-Concept lesson plans |
|
|
|
|
|
Case-study based instruction |
|
|
Technical Computing tools |
|
|
Geometer's Sketchpad : interactive, exploratory geometry software |
|
|
Cabri Geometry : interactive, exploratory geometry software |
|
|
Free or low priced resources for education |
|
Biology Resources |
Site |
|---|---|
|
The Educator's Reference Desk |
|
|
Biology Lessons for Practicing Teachers |
|
|
RNA Interference Animations |
http://www.nature.com/focus/rnai/animations/animation/animation.htm |
|
Biological Animations |
|
|
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. |
|
|
Resource of ideas and methods for constructivist physics teaching in the form of videos experiments, learning cycles and pre and post test questions |
|
|
Kinematic Models |
|
|
Equipment for Hands-on Physics Investigations |
|
|
|
|
|
|
|
|
Review |
Site |
|---|---|
|
Technology-Based Curriculum |
|
|
Constr'st lessons for California Mathematics Framework |
|
|
Site selling “Innovative Curriculum Materials” |
http://www.enc.org/features/focus/archive/innovate/resources_v6n1/h_science/ |
|
An inquiry-based
science curriculum |
|
|
Tenet: Resources in Science Content and Curriculum |
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:
Distance, Rate and Time
Forces, Inertia and Acceleration
Energy
Rotational Motion
Friction
Simple Machines
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.
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.