#### Тема: A critical look at - ASCD: Professional Learning.

Abc General Certificate of Secondary Education Additional Mathematics 9306 Pilot Specification 2008 PROBLEM-SOLVING QUESTIONS version 1.0

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Abc General Certificate of Secondary Education Additional Mathematics 9306 Pilot Specification 2008 PROBLEM-SOLVING QUESTIONS version 1.0

Order essay here problem solving method of teaching mathematics

Explicit modeling involves well-prepared teachers employing a variety of instructional techniques to illuminate the key attributes of any given mathematics concept/skill. In a sense, you serve as a bridge of learning for your student, an accessible bridge between the student and the particular mathematics concept/skill they are learning:

The level of teacher support you provide your students depends on how much of a learning bridge they need. In particular, students with learning problems need a well-established learning bridge (teacher model). They learn most effectively when their teacher provides clear and multi-sensory models of a mathematics concept/skill during math instruction.

The problem-solving process can be described as a journey from meeting a problem for the first time to finding a solution, communicating it and evaluating the route. There are many models of the problem-solving process but they all have a similar structure. One model is given below. Although implying a linear process from comprehension through to evaluation, the model is more of a flow backward and forward, revisiting and revising on the problem-solving journey.

Having understood what the problem is about and established what needs finding, this stage is about planning a pathway to the solution. It is within this process that you might encourage pupils to think about whether they have seen something similar before and what strategies they adopted then. This will help them to identify appropriate methods and tools. Particular knowledge and skills gaps that need addressing may become evident at this stage.

An important goal of education is helping students learn how to think more productively while solving problems, by combining creative thinking (to generate ideas) and critical thinking (to evaluate ideas). Both modes of thinking are essential for a well-rounded productive thinker, according to scholars in both fields:

Richard Paul (a prominent advocate of CRITICAL THINKING ) says, Alternative solutions are often not given, they must be generated or thought-up. Critical thinkers must be creative thinkers as well, generating possible solutions in order to find the best one. Very often a problem persists, not because we can't tell which available solution is best, but because the best solution has not yet been made available no one has thought of it yet. { source }

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