How do task experiences support proximal and longer-term desires to reengage? Central to this question is the interplay between perceptions of task difficulty and the situational interest. This interplay is increasingly researched but not yet well understood. Micro-analytic, latent studies are important tools for replicating past findings and…

The purpose of the present study was to understand how number writing in a class of low-income, pre-kindergarten children (N = 15) developed over the course of a school year, and to see what role that development played in their overall math readiness. The study used a mixed-methods approach. The target class was explicitly taught number writing…

This volume of PISA examines the readiness of students to engage with learning strategies, to be motivated to learn and to be confident in their abilities and in their capacity to improve their skills and knowledge. Countries like Korea have reduced mathematics anxiety, Portugal excels in critical thinking, and more low-performing students in…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

In response to international standardized testing, many countries are examining mathematics education at virtually every level of instruction. Canada is no exception. Declines in mathematics scores in some international standardized tests have raised concerns amongst some stakeholders that a crisis may be unfolding with respect to the readiness of…

The 2013 Washington State Legislature enacted legislation (Revised Code of Washington [RCW] 28A.165.100) requiring additional data reporting for the Learning Assistance Program (LAP). Under the guidelines provided in the law, the Office of Superintendent of Public Instruction (OSPI) produces an annual report to the Legislature summarizing the…

Although low performers should invest more time and effort in their studies, they seldom do. One reason is because they often feel that they get no return on their investment: more studying does not automatically lead to better marks in school. But with the right kind of in-school support, including creative and engaging mathematics-related…

The past three decades in mathematics education policy and research have seen a considerable focus on algebra and its place in secondary schools. Access to and success in the first high school course, most often termed Algebra I, has been framed as a civil rights issue, a harbinger of college success, and a lynchpin to global competitiveness.…

The manual gestures that hearing children produce when explaining their answers to math problems predict whether they will profit from instruction in those problems. We ask here whether gesture plays a similar role in deaf children, whose primary communication system is in the manual modality. Forty ASL-signing deaf children explained their…

Fractions and algebra are critically important components of the mathematics education of the youth. Unfortunately, however, students have typically struggled in these areas. For this reason, teachers and researchers have focused their attention on these topics for at least the past century. This article discusses what research shows regarding…

Examined the potential of using repeated rate-of-response measures to identify students exhibiting difficulties in arithmetic. Second-grade students (N=30) were followed over two years. Pearson product-moment correlations were computed to determine the ability of rate-of-response measures to predict arithmetic achievement. Results indicate that…

Originally written near the beginning of the "new math" movement, this article reflects on the role of student discovery, intuition, mathematics as an analytic language, and the problem of student readiness. (MKR)

After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are…

Empirical data relate to Bruner's and Ausubel's theories of learning concepts at different age levels. The concept of vector addition was taught to eighth, ninth, and tenth grade students. The concept was learned and retained by high ability ninth and all tenth grade students. (PS)

Discussed are the problems of teaching and learning fractions in the upper primary and lower secondary schools. Recommendations for teaching fractions are made and defects in various methods of fraction instruction are identified. It is suggested that fractions not be taught in upper primary and lower secondary schools. (Author/DS)