Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving

In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy.

Numeracy and Beyond: Applying Mathematics in the Primary School

Using and applying mathematics has been a central component of the National Curriculum in mathematics. However, the National Numeracy Strategy has adopted a new approach, in which 'using and applying' is integrated throughout the mathematics curriculum. This book aims to help teachers develop their understanding and practice in this crucial area. It provides a clear conceptual analysis of the problem of application, together with extensive examples of ways in which teachers can address it in their classrooms at Key Stages 1 and 2.

There are many connecting ideas in primary mathematics. The main aim of this book is to identify them in order to help teachers develop children's understanding of mathematics. The book:
· Emphasizes the relationship between language, notation and representation
· Identifies misconceptions that can develop from false connections
· Gives activities for students to clarify their understanding
This book can be used by both students training to be teachers and by teachers re-considering their approach to mathematics as part of professional development.

This textbook offers an accessible and highly-effective approach which is characterised by the combination of the textbook with a detailed guide on an accompanying CD. This study guide divides the whole learning task into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and then to return to the study guide. Through interactive learning with the study guide, the results are controlled and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. 

Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years.