This study focuses on basic mathematical skills mastered by middle school students. A test designed for the investigation was administered to 400 seventh- and eighth-grade pupils in three middle schools in Houston, Texas. The test, which focuses on fractions, was administered by the regular mathematics teacher during the mathematics class period…

These activity cards, developed by the Unified Science and Mathematics for Elementary Schools (USMES) Project, are divided into 18 groups. The first group of cards are Design Lab Tech Cards; the remaining groups are "How To" Cards. They include: (1) How To Construct a Sampling Histogram; (2) How To Make a Bar Graph Tally; (3) How To Make…

This mathematics textbook, developed for use with slow learners and learning disabled students in secondary school, contains 17 chapters. Among the topics covered are: number words; place value; rounding whole numbers; addition, subtraction, multiplication, and division of whole numbers; reducing fractions; mixed numbers; lowest common…

This working paper is a product of a graduate research seminar in mathematics education at the University of Wisconsin. Chapter I contains the rationale for re-examining fractions. The discussion centers around the different interpretations of fractions in view of the use of hand-held calculators and the metric system. In Chapter II a logical,…

A program of mathematics instruction for grade one is provided in this curriculum guide. The teaching goal of each lesson is stated in the Purpose section. Visual aids and manipulative materials useful in developing each lesson are suggested and additional teaching aids are listed. Suggestions for teaching the lessons are separated into three…

Six sets of nonstandard mathematical activities or problems are presented. The topics are appropriate for a wide range of age and ablity groups. Includes answers and explanations. (PK)

Details six activities that utilize data contained in a telephone book. Topics include data display, fractional numeracy, random art, estimation, and probability. Contains a summary and extension activities, some of which focus on permutations and combinations. (DDR)

Describes a project in which students in a community college basic mathematics class worked collaboratively to write their own book on fractions. Students reinforced their math and cooperative skills, gained confidence, organized and revised their ideas, and created their own examples. Relates teacher and student responses to the project. (DMM)

Presents an instructional approach that utilizes paper-folding activities to help students understand the concept of fractions. Utilizes an area model of multiplication to extend the concept of multiplication of whole numbers to multiplication of fractions. (MDH)

Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

This paper describes a 4-month-long experiment in computer-based learning called Instructional Software Design and presents aspects of the software evaluation. Results included greater mastery of LOGO and fractions by the experimental class than for either control class and greater acquisition of metacognitive skills. (Author/CW)

Presents a series of hands-on activities for grades K-2, 3-4, 5-6, and 6-8 using the common theme of kites to develop number sense in basic operations and fractions. Teachers' guides and worksheets are provided. (MDH)

Presents teaching methods to rectify the tendency of students and even teachers to divide the smaller number into the larger in problem situations requiring division, while recognizing the impossibility of the answer in the situation. (MDH)

Presents activities developed for teacher training courses for the middle school level that integrate mathematics history with the selected topics of number systems, fractions, and geometry. The activities seek to give relevance to history and to motivate and deepen students' understanding of the evolution of mathematical concepts. (MDH)

Presents a description of pedagogical content knowledge in mathematics, constructed from interviews with fifth grade teachers; suggests modifications in the general conception of pedagogical content knowledge based on this description, and suggests revisions in teacher education practices to improve teachers' understanding of pedagogical content…