The related literature emphasizes that mathematics content knowledge (MCK) itself is not sufficient for effective teaching; teachers also need to have deep and wide mathematics pedagogical content knowledge (MPCK). In this study, we worked with 12 pre-service primary teachers through Teaching Practice course in order to examine how their MCK…

In mathematics, there is conceptual and procedural knowledge. Conceptual knowledge is about ideas or mathematics understanding but procedural knowledge is about procedure to solve mathematics problems. Multisensory approach involve many senses like kinaesthetic, visual and auditory to gain knowledge. This research aims to find information about…

Problem Statement: Preservice teachers acquire the knowledge and skills needed for elementary mathematics education by themselves obtaining quality university educations and by being actively involved in mathematics. Thus, it is essential to make room in teacher education for student-centered projects and activities. Purpose of Study: This study…

Examines elementary students' perspectives on the engagement potential of particular mathematical problems and students' views on classroom problem-solving activities in general. Nonroutine examples that focused on important reasoning processes and did not involve computation had the greatest engagement potential, whereas computational problems…

The computer tools for interactive mathematical activity (TIMA) were designed to provide children a medium in which they could enact the mathematical operations of unitizing, uniting, fragmenting, segmenting, partitioning, replicating, iterating and measuring. TIMA were developed in the context of a constructivist teaching experiment focused on…

Analyzes students' representations of fractions as they work on fraction comparison tasks and justify their solutions in a collective classroom activity. Emphasizes the importance of setting a problematic situation and encouraging students to make various representations for their learning. Suggests some implications for teacher activities and…

Reports on the findings of a research project involving decimals and students' misconceptions about them. Offers some practical activities that may help children understand decimals better. (ASK)

Explores misconceptions that students hold about sampling techniques on surveys. Highlights students' thinking and instructional implications from two studies that examined upper-elementary students' written and oral explanations as they responded to survey situations. (ASK)

Describes and analyzes a learning episode in which two children in year 4 interact with each other and their teacher while playing a probability game involving chocolate M&Ms. Children developed key ideas in probability from a game that was designed to produce cognitive conflict. (ASK)

Explores ways to help children make connections between whole-number multiplication and their notion of a fraction. Illustrates an approach to constructing fraction concepts that builds on children's whole-number knowledge using specially designed computer tools. (KHR)

Explores the strategies and interactions of elementary school children in a computer-based microworld related to the concept of length. Included both on and off computer activities that contributed to the collaborative learning environment, a high level of interest, and enthusiasm for mathematical activities. (Author/LRW)

Describes one pattern of reasoning observed in a mathematical activity with students in a grade 5 class and discusses ways in which the pattern is or is not mathematical. Describes patterns of reasoning in terms of ways of reasoning and degree of formulation of the reasoning. Distinguishes between mathematical reasoning and scientific reasoning in…

Presents research findings and suggestions on how children learn to categorize shapes. Discusses specific ways to present developmentally appropriate activities designed to enhance children's understanding of basic shapes. Contains 12 references. (ASK)

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Investigates uses of interactive geometry software to enhance students' understanding and reasoning about two-dimensional shapes. Describes basic principles that underlie high-quality geometry instruction. Presents examples that illustrate how appropriate use of dynamic software can enhance students' geometric reasoning. (KHR)