The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

A cognitive schema is a mechanism which allows an individual to organize her/his experiences in such a way that a new similar experience can easily be recognised and dealt with successfully. Well-structured schemas provide for the knowledge base for subsequent mathematical activities. A new experience can be assimilated into a previously existing…

Developing the problem solving competency is one of the main goals of school education, as it is a very important competency in someone's everyday life and career as well. Mathematics is highly appropriate for developing this competence. This research studies future Primary and Preschool Pedagogy specialization students' mathematical problem…

Build It Up! is an engaging activity that integrates science with mathematics through a process that encourages problem-solving, principles of design, creativity, and developing a sense of one's community. This activity, aimed at third- and fourth-grade students, allows students to use manipulatives to design, construct, and test buildings they…

Many factors influence a student's performance in word (or textbook) problem solving in class. Among them is the comprehension process the pupils construct during their attempt to solve the problem. The comprehension process may include some less formal representations, based on pupils' real-world knowledge, which support the construction of a…

This monograph offers an overview of the current research work carried out in Croatia and the surrounding countries, and specifically an interesting insight in teaching and learning issues in these countries. The authors discuss the need of the general population for becoming good problem-solvers in society of today, which is characterised by…

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…

This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures…

Fourteen steps are suggested: perceive problem, decode written symbols, formulate general meaning, translate the general message into the mathematical message, determine question(s), gather data, analyze relationships, decide on processes, estimate answers, encode data into mathematical sentences, perform operations, answer questions, and check…

Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A…

When mathematics is used to help people cope with real-life situations, a three-stage intellectual process is involved. An operational instrument for assessing how a person moves from the first to the second and third stage is proposed. (Author)

Investigates students' use of imagery in their mathematical activities. Findings indicate that image forming is crucial in doing mathematics. A student who fails to construct an image in a problem-solving situation is severely limited in giving meaning to the situation. Contains 21 references. (JRH)

The central purpose of this study was to investigate the effects of distractions in nonverbal problems on the problem solving behavior and performance of young children (grades 1-3) in 6 schools (N=360). Results indicated 66 percent of the subjects were distracted by irrelevant spatial-numerical or color attribute uses. (JC)

The article, while focusing on mathematics and problem-solving characteristics, reexamines the definition of "mathematically gifted," and discusses current practices and some areas of concern related to the identification of the mathematically gifted. It also calls for an identification procedure which includes information about qualities of the…

The article offers suggestions for helping gifted elementary students learn to use independent thinking skills to challenge their own thinking as well as to solve mathematical problems. (DB)