Digital technologies have the potential to revolutionize education by enhancing quality, fairness, and efficiency. However, equitable access to these technologies remains a challenge. ILSAs (international large-scale assessments) have shown that the relationship between digital use and performance varies across countries and over time. To fully…

Research has shown that although teachers' knowledge about the subject or pedagogy is important, a teacher's professional vision (including their perceptions and pedagogical decisions) can also have a significant impact on the efficacy of their practice. Firmly grounded in the long-standing field of teacher professional vision research, this…

In 2010, the William and Flora Hewlett Foundation's Education Program has established the Deeper Learning Initiative, which focuses on students' development of deeper learning skills (i.e., the mastery of core academic content, critical-thinking, problem-solving, collaboration, communication, and "learn-how-to-learn" skills). Two test…

This toolkit provides activities and resources to assist practitioners in designing and delivering intensive interventions in reading and mathematics for K-12 students with significant learning difficulties and disabilities. Grounded in research, this toolkit is based on the Center on Instruction's "Intensive Interventions for Students Struggling…

The author arranges 26 current states of mathematical knowledge (in relation to solving a problem) in an informal taxonomy and comments on them. (MNS)

After observing secondary school students having great difficulty learning geometry in their classes, Dutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theoretical model involving five levels of thought development in geometry. It is the purpose of this monograph to present English translations of some significant works of the…

Presents a constructivist view of mathematics, mathematics teaching, and mathematics achievement, and differentiates this view as an alternative to the typical traditional perspective of these terms. Discusses the roots of this approach in contemporary information-processing psychology. (TW)

Results from a large-scale study of sixth-form and college students' understanding of elementary calculus and mathematical ideas underlying calculus are presented. Difficulties with speed, tables, linear graphs, curves and differences, the tangent as the limit, and the average rate of change are each discussed. (MNS)

Discusses the organization and retrieval of information. Describes the tip-of-the-tongue state during mathematics problem solving. Provides five rules for a deep level of processing of new concepts. (YP)

For the purpose of promoting international cooperation in mathematics, physics, and chemistry teaching research, this first yearbook of the Finnish Association of Mathematics and Science Education Research contains articles of recent research on mathematics teaching. The contents consist of five articles in English, two in German, and one thesis…

Focusing primarily on current problem areas in mathematics instruction, this third yearbook of the Finnish Association of Mathematics and Science Education Research contains five articles addressing four themes in mathematics education. The first theme is concerned with proportional reasoning in mathematics teaching and describes school test…

Examines didactic interventions and claims their impact on pupil behavior aids the study of cognitive processes. Studies problem solving in teaching mathematics. Examines the functions of tutorial interventions in surface features and instability of representation. Finds tutorial interventions demonstrate a substantial increase in performance…

Provided are the papers presented at a conference which served as an international forum on diagnostic and prescriptive mathematics education. They are: (1) "The Evolution of the Research Council for Diagnostic and Prescriptive Mathematics" by Robert Underhill; (2) "The Interaction of Knowledge and Cognitive Processes in Diagnosis…

The forum is focused on thinking about and with algorithms as a way of unifying all one's mathematical endeavors. The lead article by Maurer presents examples and discussion of this point. Responses, often disagreeing with his views, are by Douglas, Korte, Hilton, Renz, Smorynski, Hammersley, and Halmos. (MNS)

Provides examples which suggest the importance of giving children opportunities to create their own arguments and of allowing them the opportunity to verbalize these arguments in clinical interviews. Also indicates that if time is spent interviewing children individually, instruction can be matched to the way they think. (JN)