Author : Loren C. Larson
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 21,17 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461254981
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
Author : Peter Liljedahl
Publisher : Springer
Page : 46 pages
File Size : 11,42 MB
Release : 2016-06-27
Category : Education
ISBN : 3319407309
This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
Author : Teacher Created Materials Staff
Publisher : Teacher Created Materials
Page : 132 pages
File Size : 33,35 MB
Release : 2004-12-15
Category : Education
ISBN : 9780743901048
Receive a discounted price of $7.99 per book when 10 or more copies are ordered, see item #10134! The Problem-Solver's Math Journal focuses on key problem-solving strategies, providing extra practice for students. Great for reinforcement during class, after school, or as part of any intervention program.
Author : Peter Liljedahl
Publisher : Springer
Page : 361 pages
File Size : 15,44 MB
Release : 2019-02-12
Category : Education
ISBN : 3030104729
This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.
Author : Douglas B. McLeod
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 15,27 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461236142
Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.
Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 28,47 MB
Release : 2008-01-19
Category : Mathematics
ISBN : 0387226419
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Author : Teacher Created Materials Staff
Publisher : Teacher Created Materials
Page : 78 pages
File Size : 32,84 MB
Release : 2005-01-15
Category : Education
ISBN : 9780743901116
Use the Teacher's Guide with your students Problem-Solver's Math Journal. Teacher's Guides include the answer key.
Author : Christopher G. Small
Publisher : Springer Science & Business Media
Page : 139 pages
File Size : 13,98 MB
Release : 2007-04-03
Category : Mathematics
ISBN : 0387489010
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.
Author : Alfred S. Posamentier
Publisher : Courier Corporation
Page : 296 pages
File Size : 47,63 MB
Release : 2012-05-04
Category : Mathematics
ISBN : 0486131548
Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
Author : Florence Mihaela Singer
Publisher : Springer
Page : 587 pages
File Size : 24,61 MB
Release : 2015-06-12
Category : Education
ISBN : 1461462584
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
