This study investigates the extent to which student and task-related characteristics are associated with different types of note-taking and analyzes how task success depends on these elements. For this purpose, a sample of n=866 students (age: mean=13.99) completing two reality-based tasks as part of a paper and pencil test are considered. The…

Research in psychology and education indicates that corrective feedback can be a powerful learning tool. We provide a developmental perspective to focus specifically on how corrective feedback influences learning in childhood ([approximately]ages 3-11). Based on a systematic search, we review 44 empirical papers published between 1990 and 2022…

Motivated by a curriculum privileging number-based strategies but national tests highlighting students' reliance on standard algorithms, this study analyses 2,216 Danish Grade 3, 6 and 8 students' solutions to various multidigit arithmetic tasks, each designed to elicit shortcut strategies, against background variables including sex, ethnicity and…

Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…

Self-regulated learning is identified as a fruitful learning strategy as evidenced from the increase in the number of researches in academic self-regulation since year 2000. Knowing to manage one's own learning is helpful in attaining the goals. This analysis of literature on self-regulated learning focuses on the factors that affect…

"Success stories," i.e., cases in which mathematical problems posed in a controlled setting are perceived by the problem posers or other individuals as interesting, cognitively demanding, or surprising, are essential for understanding the nature of problem posing. This paper analyzes two success stories that occurred with individuals of different…

The purpose of the study was to investigate the metacognitive abilities of students with LD as they engage in math problem solving and to determine processing differences between these students and their low- and average-achieving peers (n = 73). Students thought out loud as they solved three math problems of increasing difficulty. Protocols were…

This study investigated whether children's inversion shortcut use (i.e., reasoning that no calculations are required for the problem 4 x 8 divided by 8, as the answer is the first number) is related to their analogical reasoning ability, short-term memory capacity, and working memory capacity. Children from Grades 6 and 8 solved multiplication and…

This volume contains four articles by A. A. Krutetskii. The first article is a report of a study of individual differences in ability to solve algebra problems. The second article reports on a two-year study of a young girl who showed exceptional mathematical giftedness. Article three presents a summary of the author's theoretical position on the…

Developmental and individual differences in mathematical aptitude were investigated as a function of knowledge structure and processing variables. Results indicated the relative importance of knowledge structure and strategy skills in aptitude test performance. Protocol data further elaborated the interrelationships between knowledge and process…

Research findings related to the development of language, abstract reasoning, and problem solving-skills by children from three to eight years old are integrated by consideration of classroom implications. Individual differences, the teacher-child relationship, and other topics are also discussed in this context. (SD)

Related research suggests that children may show some simple understanding of event covariations by the early elementary school years. The present experiments use a rule analysis methodology to investigate covariation judgments of children in this age range. In Experiment 1, children in second, third and fourth grade judged covariations on 12…

A 2-year study of mathematics performance of sixth-grade students was conducted to: (1) determine the extent to which previously reported sex differences in California data exist and influence student response; (2) examine the predominant successful and unsuccessful strategies used by sixth-grade students in solving story problems; (3) discover to…

A report on the early stages of a research project, The Skills and Procedures of Mathematical Problem Solving in pupils of 9-13 years (SPMPS), is given. The article explores the background to the need for such a project, both from a mathematical and pedagogical point of view. (Author/MK)

The time may be ripe for the fields of mathematics education, special education, and cognitive psychology to converge, with their respective focuses on mathematical problem solving, individual differences among students, and analysis of cognitive processes. Four articles on learning disabilities in mathematics are introduced, and a research agenda…