This article aims to develop a framework for the characterisation of problem-posing activities. The framework links three theoretical constructs from research on problem posing, problem solving, and psychology: (1) problem posing as an activity of generating new or reformulating given problems, (2) emerging tasks on the spectrum between routine…

The present study contributes to knowledge about how to design tasks that benefit from dynamic software in math education, comparing practice performance and learning outcomes among 129 students practicing on two different task designs using GeoGebra. The task designs differed with respect to the presence or absence of guidelines on how to solve…

In recent decades, technology has influenced various aspects of assessment in mathematics education: (1) supporting the assessment of higher-order thinking skills in mathematics, (2) representing authentic problems from the world around us to use and apply mathematical knowledge and skills, and (3) making the delivery of tests and the analysis of…

Recently, many countries have considered various assessment methods in order to measure multiple ways of students' thinking skills and problem solving ability. Recently, the Ministry of Education, Science and Technology [MOEST] (2009) in Korea revised the mathematics curriculum, which now more focuses on enabling students to explain mathematically…

Five characteristics necessary for a computer puzzle to be considered ideal are listed along with an example of such a puzzle. Several other puzzles lacking some of these characteristics are also listed and discussed. (MN)

Increased interest in mathematical problem solving and in the development of problem-solving ability have demanded that mathematics educators give greater attention to problem-solving instruction. A four-step model for solving problems is followed by sets of suggestions for instructional use. (MP)

Suggestions for teaching problem solving which include the use of general models, variation of illustrations and terminology, and diagrams are illustrated for comparison multiplication word problems. (MN)

This research examined students' responses to mathematics problem-solving tasks and applied a general multidimensional IRT model at the response category level. In doing so, cognitive processes were identified and modelled through item response modelling to extract more information than would be provided using conventional practices in scoring…

This publication should help educators provide a mathematics program that emphasizes productive time on task and active involvement of students in mathematics activities. The focus on problem solving is stressed. Time allotments are stated, followed by descriptions of essential elements for kindergarten through grade 8: understanding numbers and…

Questions regarding the type of teacher input and its effect on immediate and delayed performance in student problem-solving are examined. Specific guidelines for the classroom teacher are then suggested. (Author/MA)

The influence a parent has on the beginning educational development of a child is unquestionable and profound; a parent's attitude and interest will greatly influence a child's attitude toward and interest in learning. This pamphlet is designed to help parents become aware of the many opportunities to develop, nurture, and refine their child's…

This brief report describes an exploratory pilot project in which sixth-grade students used hand-held calculators throughout the school year. The report includes guidelines on the purchase and use of calculators as well as advice on gaining community support for such a project. Issues related to classroom management are discussed; in particular,…

Presented is a speech made by Shirley Hill, president, at the 58th Annual Meeting of the National Council of Teachers of Mathematics in which she presents the organization's recommendations for the direction of school mathematics in the 1980s (called "An Agenda for Action"). (Author/TG)

A recent survey questions whether mathematics teachers in Arizona view math content as dynamic or process-oriented. Less than half used state curriculum guidelines, and few reported knowledge of National Council of Teachers of Mathematics' emphases on mathematical processes related to problem solving or reasoning. Teachers seem unaware of their…

This report, prepared for and published by the Mathematical Association of America's Committee on the Teaching of Undergraduate Mathematics, includes a description of the state of the art on problem solving, lists available resources, and makes recommendations regarding the place of problem solving in the college curriculum and ways to teach it.…