This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…

Discusses results of an action research study of second-grade students' group work which indicated that, when students were not given sample solutions for problems, they were more likely to use higher order thinking, take ownership of strategies, discuss solutions longer, and be more accepting of other views. (MKR)

Examples from related case studies illustrate possible consequences of a social constructivist approach to learning and teaching mathematics. Discusses student tasks that promote flexibility in mathematizing subject matter; constructive versus Euclidean geometry approaches; working with real-life mathematics problems; and product versus process…

Considers college student apprehension when encountering new information technologies, CD-ROMs in particular, and proposes a variety of active learning exercises. Topics include information proliferation, library anxiety, computer anxiety, active learning, learning styles, problem solving, indexing exercises, search strategy worksheets,…

These proceedings contain the papers and posters of the International Conferences on Internet Technologies & Society (ITS 2016), Educational Technologies (ICEduTech 2016) and Sustainability, Technology and Education (STE 2016), which have been organised by the International Association for Development of the Information Society and…

The concept of self-regulation--the process whereby students activate and sustain behaviors and cognitive paths which are systematically oriented toward attainment of learning goals--is increasing in importance among educators. Self-regulation includes activities such as attending to instruction; organizing, coding, and rehearsing information;…

The "Thinking Mathematics" approach to teaching is guided by two ideas: (1) that learning requires knowledge upon which new problems and situations are interpreted and (2) that mathematics skills are applied in context. This paper reports research that examined whether teaching mathematics students in high school remedial classes can be…

This document is designed to assist teachers by providing practical examples of real world applications of high school mathematics. Fifteen problems are presented that individuals in industry and business solve using mathematics. Each problem provides the contributor's name, suggested skills required to solve the problem, background information…

This study examined concurrent and long-term effects of parents' teaching strategies on their children's cognitive styles. A total of 83 mothers and 74 fathers helped their 4-year-old sons or daughters with 4 problem-solving tasks. The interactions between parents and children were observed and evaluated. Two measures of field…

An editorial comment on the computer and the mathematics educator is included first. Then, abstracts and comments are presented for 11 articles. Studies included focus on mental addition, problem solving by sixth graders, mathematics anxiety, tutoring, direct instruction, a bilingual program, thinking strategies for multiplication basic facts,…

This study investigated the grouping effect on student achievement in a chemistry laboratory when homogeneous and heterogeneous formal reasoning ability, high and low levels of formal reasoning ability, group sizes of two and four, and homogeneous and heterogeneous gender were used for grouping factors. The sample consisted of all eight intact…

The associations among cognitive automatization, abstract problem solving, and educational performance were studied using 127 fourth to ninth grade students. A number of measures of fast, automatic, and fluent performance (FAF measures) were used: writing the alphabet; reading from a word list; and mentally performing arithmetic operations. The…

The major purpose of this study was to assess the degree to which cognitive style, as indexed by the Matching Familiar Figures Test (MFFT), is related to the way in which children respond to problems with social or interpersonal content. Fifty-two reflective and 64 impulsive first- and second-grade boys were presented with a number of stories in…