Mathematics and Indonesian Language are subjects that are considered difficult by students in Indonesia. In addition, students are also considered less creative. One way to solve this problem is to apply the game in learning. For this reason, a game that can solve the problem needs to be designed. The game that is hypothesized to improve math,…

This is the first of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. My explanation starts with the formation of arithmetical units, which presage…

This paper provides an overview of a book entitled "Adults Count Too: Mathematics for Empowerment". The introduction to the book details why the author spent three years writing about adults learning mathematics, and outlines the shape and structure of the book. A chapter from the book, entitled "A Matrix of Factors," is presented as an example of…

Investigations into children's number learning have been a feature of recent mathematics education research in Australasia. This book is a compilation of the major results of this research with the aim of making them more accessible to researchers, teachers, and others who may be able to use the findings to improve classroom practice. The…

Investigates 2nd and 3rd grade students' estimation of distances traveled during the summer. Uses concepts from measurement, approximation, number sense, and organizing and interpreting information. (KHR)

Examines strategies used by preschool children to subdivide items and focuses on how counting and sharing relate to one another. Indicates that children exhibited alternative strategies--suggesting use of a recipient as a mental cycle-marker and an adjacent recipient strategy--with pauses between allocations suggesting a re-presentation of lots…

Presents a study to develop better understanding of the processes involved in the construction of oral and written symbolic systems and to grasp their role in the elaboration of the modeling function of numbers. Proposes ideas for teaching in light of this study and contributes better understanding of the relationship between numeration and…

Explores students' abilities in mental computation, finds out the strategies they use most naturally, and develops a theoretical framework by giving 60 children a questionnaire and interviewing them on a series of arithmetic operations to be solved by mental computation. Generates a classification of children's strategies. Contains 31 references.…

Reports on pre-service primary teacher education students' involvement in a number sense program that was a component of a mathematics education unit. Suggests that students develop and utilize multiple relationships among number, attempt to make sense of the mathematics investigated, and provide considered explanations for results achieved.…

Discusses overall mental computation achievement and limits discussion to strategies middle school students used when computing with whole numbers, decimals, and fractions. Suggests that the development of conceptual knowledge of numbers is an important prerequisite for the understanding of mental computation procedures. (Contains 31 references.)…

Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…

Discusses several solutions--correct and incorrect--for a "Food for Thought" problem from the May 2000 issue. Emphasizes the importance of proportional reasoning. (KHR)

The teaching of negative numbers poses problems at the school level. A historical account of the intellectual difficulties in the evolution of negative numbers and a method of viewing negative numbers as an extension of the number system to help overcome these difficulties are presented. (MDH)

This paper discusses the question, what kinds of learning and new knowledge about content and children's thinking can an innovative curriculum program motivate? Discussion is restricted to whole number operations and how changing knowledge, beliefs, and practice as both an individual and collective problem might be conceived. To the extent that…

Two experiments examined children's early judgments about numerical relations. Found that children as young as three years old are already adept at reasoning about relations between sets, independently of their ability to form numerical representations. Results support the existence of protoquantitative schemas, or ways of thinking about relations…