The Inquiry Based Learning Model is an instructional method that focuses on active learning and much interaction where progress is assessed by how well students develop experimental and analytical skills rather than how much knowledge they possess. This is quite different from simply making students memorize information.
CMP to seems to be more inquiry based as opposed to the traditional direct instruction. The guiding principles for CMP are:
-coherence; it builds and connects from investigation to investigation, unit-to-unit, and grade-to-grade.
-focuses on inquiry and investigation of mathematical ideas embedded in rich problem situations.
The creators of CMP believe in helping students grow in their ability to reason effectively with information represented in graphic, numeric, symbolic, and verbal forms and to move flexibly among these representations.
The CMP model follows 3 phases: launch, explore and summarize. The launch phase entails the teacher launching the problem or new topic with the whole class. The teacher will ask questions, clarifies definitions and reviews old concepts which will all help connect together to blend into a cohesive lesson which blends old material and new concepts to build a new task. The explore phase can be done individually, in groups, and even a whole class. Students dousing the explore phase will gather data, share ideas, look for patterns, make conjectures, and develop problem-solving strategies. The teacher's role during this phase is to move about the classroom, observing individual performance and encouraging on-task behavior. The last phase (summarize) guides the students to reach the mathematical goals of the problem and to connect their new understanding to prior mathematical goals and problems in the unit. The summarize phase of instruction begins when most students have gathered sufficient data or made sufficient progress toward solving the problem. In this phase, students present and discuss their solutions as well as the strategies they used to approach the problem, organize the data, and find the solution. Additionally, with CMP homework is not to drill and kill, but is used to help grasp the concept.
Although the CMP model has many inquiry based qualities, it does hold some direct instruction --> guided practice --> independent work qualities as well. CMP is based off of concepts, skills, or procedures that support the development of an developed sequence. Through the CMP model in which the teacher is required to teach is introduces concept, model, and then individual work. Both the CMP and direct instruction model both review prior material to help build into new concepts. I think that is a great and important way to keep material fresh and unforgotten. I think both the creators of CMP and those who are direct instruction followers understand that reviewing material and looping is imperative.
The sixth grade math class where I am doing my practicum uses the CMP model and I think students are able to relate the concepts more to the real world which seems to help with retention. I really like what I've seen so far with CMP.
sources:
http://connectedmath.msu.edu/pnd/principles.shtml
http://www.thirteen.org/edonline/concept2class/inquiry/index_sub4.html
http://en.wikipedia.org/wiki/Inquiry-based_learning
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