# Problem Solving For Grade 4

Click on the the core icon below specified worksheets to see connections to the Common Core Standards Initiative.James Cotter's mother is a teacher and she's setting up a classroom for the new year.

Click on the the core icon below specified worksheets to see connections to the Common Core Standards Initiative.

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They also need to be able to decide through a process of logical deduction what algorithm, if any, a situation requires, and sometimes need to be able to develop their own rules in a situation where an algorithm cannot be directly applied.

For these reasons problem solving can be developed as a valuable skill in itself, a way of thinking (NCTM, 1989), rather than just as the means to an end of finding the correct answer.

Cockcroft (1982) also advocated problem solving as a means of developing mathematical thinking as a tool for daily living, saying that problem-solving ability lies 'at the heart of mathematics' (p.73) because it is the means by which mathematics can be applied to a variety of unfamiliar situations.

Problem solving is, however, more than a vehicle for teaching and reinforcing mathematical knowledge and helping to meet everyday challenges.

It is also a skill which can enhance logical reasoning.

Individuals can no longer function optimally in society by just knowing the rules to follow to obtain a correct answer. Over the years the courses evolved to the point where they focused less on heuristics per se and more on introducing students to fundamental ideas: the importance of mathematical reasoning and proof..., for example, and of sustained mathematical investigations (where my problems served as starting points for serious explorations, rather than tasks to be completed). Schoenfeld also suggested that a good problem should be one which can be extended to lead to mathematical explorations and generalisations. Section three includes extended explorations that offer in-depth, real-life contexts as the basis for the problem.As the emphasis has shifted from teaching problem solving to teaching via problem solving (Lester, Masingila, Mau, Lambdin, dos Santon and Raymond, 1994), many writers have attempted to clarify what is meant by a problem-solving approach to teaching mathematics. In section one, students solve routine problems that focus on specific math concepts (number, patterns, measurement, geometry).In section two, students use specific strategies to solve non-routine problems.Presenting a problem and developing the skills needed to solve that problem is more motivational than teaching the skills without a context. Such motivation gives problem solving special value as a vehicle for learning new concepts and skills or the reinforcement of skills already acquired (Stanic and Kilpatrick, 1989, NCTM, 1989). Math Word Problems (Mixed)Mixed word problems (stories) for skills working on subtraction,addition, fractions and more.Math Worksheets - Full Index A full index of all math worksheets on this site.