Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

Proportionality can be considered among the most important mathematical notions in the middle school math curriculum (grades 5 to 8). It is the capstone of elementary arithmetic, number, and measurement concepts, and at the same time one of the most elementary understandings one needs for more advanced mathematics. Understanding proportionality is…

In the era of multi-tiered system of support approach to learning, identifying mathematical interventions that have been found to be effective for students who are struggling academically is imperative. Given the divide between instructional approaches in general and special education mathematical teaching approaches, it is important to bridge the…

Young children's exposure to early math concepts is important in their development, in their confidence in math skills, and in their ability to use math later in life. In 2013, the Heising-Simons Foundation embarked on an innovative path to support children's early math development. The Foundation invited several family engagement providers to…

The overarching purpose of this document is to define a new vision for mathematics instruction that explicitly attends to the needs of English Language Learners (ELLs), addressing the interdependence of language and mathematics. The sections in this report are devoted to (1) making clear that the grade-level college- and career-readiness…

Practitioners can benefit from using norms, but they often have to develop their own percentile rank and percentile norms. This article is a tutorial on how to quickly and easily calculate percentile rank and percentile norms using SPSS, and this information is presented for a data set. Some issues in calculating percentile rank and percentile…

Presents a modification of the tabular method for evaluating two types of integrals that requires using the integration-by-parts method twice. (ASK)

Shows how the children's book "How Big Is a Foot?" can motivate measurement explorations with nonstandard units and lead to the development of standard units. (MKR)

Presents an elementary physics problem, the solution of which illuminates physical meaning and its relation to real, imaginary, and complex mathematical quantities. (JRH)

This book contains mathematics activities based upon the concepts of Fibonacci numbers and the Golden Ratio. The activities include higher order thinking skills, calculation practice, integration with different subject areas, mathematics history, extensions and home tasks, teaching notes, and questions for thought and comprehension. A visual map…

This book contains "math mind benders," puzzles that are worked like crossword puzzles except that each square is filled with a digit rather than a letter. Clues to the puzzles are interrelated with each other and a given story. Clear thinking and deductive reasoning must be used to find potential answers and eliminate those that fail to meet all…

Suggesting that children's literature has a powerful role to play in restoring story to the teaching and learning of mathematics, this book shows how stories are natural invitations for learners to explore the mathematics of their own lives and the lives of others. Each chapter of the book explores books on a given topic and gives some examples of…

Games of analysis or logical thinking are important reinforcers of various mathematics topics with children, and here the author suggests some games you might use. (Editor/RK)

Simple, classroom-tested probability activities that capture students' interest, develop critical thinking skills, and reinforce addition facts are suggested. All activities involve investigating the probabilities of the sums that come up when two dice are tossed. (MT)

The concept of statistical significance is explained, with specific numerical illustrations. (MNS)