This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…

This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…

Number sense has been recognised as central to young children's development of mathematics for a number of decades. A student with a "good" sense of number normally has a thorough understanding of relationships among numbers and operations--being able flexibly to partition and combine numbers in convenient ways to allow appropriate…

This study investigated the effects of two generative learning activities on students' academic achievement of the part-whole meaning of rational numbers while using virtual manipulatives. Third-grade students were divided randomly in two groups to evaluate the effects of two generative learning activities: answering-questions and…

Creating meaningful math experiences that reach children with diverse abilities, home languages, learning styles, and backgrounds is a daunting challenge for all teachers. Primary teachers often receive little professional support for achieving this complicated task in mathematics (NCTM 2000). This article explores how five different math…

An activity providing practice with whole number addition and subtraction, as well as enlarging on the idea of numeration systems, is described. (DT)

This article looks at how the activity of decomposing number--having students write numerical expressions equivalent to the number of days in school--can help students develop understanding of place value. (Contains 3 figures.)

Three methods for using four-function, counting calculators for developing understanding of the meaning of square roots and operations on whole and rational numbers are described. (MP)

Two ideas to use as a bulletin board display as an activity center, or as worksheets emphasizing whole number concepts are described. (JT)

A method of identification of pigs used by farmers is described as an application of a base three numeration system. (MP)

The concepts of number sense and numeration, operations, and whole-number computations and their importance are discussed. Activities cover developing concepts of operations, exploring patterns and relationships, and building an understanding of mathematical structure. (KR)

This game of strategy for two players is an adaptation of mastermind to a pencil-and-paper game. Rules and examples are given. (MP)

The authors suggest how the patterns in the digits in the multiplication tables may be exploited in the classroom. (MM)

Described is an activity in which students develop their own number system. This activity allow students to examine the structure and history of number systems and to discover the power and respectable efficiency of the number system used today. (KR)

Task cards are discussed as a tool for learning. Examples of measurement and number activities that are appropriate for task cards are given. (MP)