Pedagogical content knowledge forms the core of teachers' professional knowledge; it refers to knowledge about making subject matter accessible to students. Thus, the formation of pedagogical content knowledge constitutes a crucial issue for educational research and practice. We investigated the contributions of content knowledge and pedagogical…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

The author points out the usefulness of the ALP minicalculator program with learning disabled learners and introduces a novel aspect of the program--a new method of dealing with fractions via the calculator in which decimal answers are converted to equivalent fractions. (SBH)

Introduces addition, subtraction, multiplication, and division of fractions using area models such as rectangles and circles, or linear models such as the number line and fraction strips. (ASK)

A fraction table consists of a large number of lines taped to a table. Strips of paper that represent fractions can be manipulated on it to solve problems. Uses of the table for discovering fractions are discussed, considering equivalent fractions and adding, subtracting, multiplying, and dividing fractions. (JN)

This paper provides some guidance as to what to listen for to help students make sense of expressions in ways that connect to their ideas and honestly address the mathematics of rational numbers. It offers a reasonable initial answer to the question, "Where do students' ideas about fractions and ratios come from, and how can we work productively…

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)

This chapter presents a yearlong teaching experiment involving a 4th grade class in a New Jersey school that focused on fractions. The 25 children worked in pairs or in small groups, then came together as a whole class for sharing in larger discussions. The development of children's thinking is explored through analyzing videotapes of class…

This book contains activities related to fractions and proportions. The activities span many grade levels as well as many levels of sophistication. Each activity is accompanied by a set of Teachers Notes that include a discussion of the mathematics topics, grade range, materials needed, mathematics of the activity, and implementation notes. All…

Presents a problem involving fractions for discussing and sharing of student responses to the problem at a later date. (KHR)

Developed by the Initial Learning in Mainstreaming Project, the manual presents an instructional program to teach mainstreamed handicapped elementary school students the principle of least common denominators in working with fractions. In addition to detailed teaching instructions, the manual includes tests, worksheets, and pages to be made into…

The document presents a criterion referenced test of basic math skills, including division, multiplication, addition, subtraction, fractions, decimals, time, and measurement. (DLS)

Math can be basic and motivational at the same time. Help your students discover numbers and enjoy them. (Editor)

This paper describes the Rational Number Project (RNP), teaching experiments concerned with the teaching and learning of fractions among 4th and 5th grade students. Interviews with 4th grade students who used the RNP curriculum and with students who used a traditional curriculum were conducted by RNP staff as well as classroom teachers. This paper…

Compared the computational performance of two groups of arithmetic teachers: one group tested in 1930 and the other in 1973. Results indicated that the 1973 teachers performed significantly better than the 1930 teachers. (JMB)