We should not judge people by their peak of excellence; but by the distance they have traveled from the point where they started.

Friday, July 23, 2010

Some good strategies of teaching and learning.

Seven mathematical processes that form the heart of the teaching and learning strategies used in mathematical teachings.

Communicating: Several opportunities for students to share their understanding both in oral as well as written form.

Problem solving: Scaffolding of knowledge, detecting patterns, making and justifying conjectures, guiding students as they apply their chosen strategy, directing students to use multiple strategies to solve the same problem, when appropriate, recognizing, encouraging, and applauding perseverance, discussing the relative merits of different strategies for specific types of problems.

Reasoning and proving:
Asking questions that get students to hypothesize, providing students with one or more numerical examples that parallel these with the generalization and describing their thinking in more detail.

Modeling the reflective process, asking students how they know.

Selecting Tools and Computational Strategies:
Modeling the use of tools and having students use technology to help solve problems.

Activating prior knowledge when introducing a new concept in order to make a smooth connection between previous learning and new concepts, and introducing skills in context to make connections between particular manipulations and problems that require them.

Modeling various ways to demonstrate understanding, posing questions that require students to use different representations as they are working at each level of conceptual development – concrete, visual or symbolic, allowing individual students the time they need to solidify their understanding at each conceptual stage.

No comments:

Post a Comment