Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations…

Now in a fully updated second edition, "Unlocking Mathematics Teaching" is a comprehensive guide to teaching mathematics in the primary school. Combining theory and practice, selected experts outline the current context of mathematics education. They suggest strategies, activities and examples to help develop readers understanding and confidence…

Developing proficiency in algebra is the focus of instruction in high school mathematics courses and is a minimum expectation for high school completion for all students including those with learning difficulties. However, the foundation for success is laid in grades 4-8 (aged 9-14). In this paper, we assert that students' development of algebraic…

Using a sample of 263 mother-child dyads, we examined the extent to which maternal emotional and cognitive support during a joint problem-solving task when children were 3-years-old predicted children's academic skills 1 year later independent of each other, the quality of the home learning environment, and maternal emotional responsiveness. When…

This paper adds to a discussion initiated by Askew (2007) about two contrasting views of scaffolding; as a "tool for results" and a "tool-and-result". The study took place in four primary classrooms within a low socioeconomic setting. Two classroom episodes drawn from one of the teacher's classroom, illustrate the two different…

This first "OECD Skills Outlook" presents the initial results of the Survey of Adult Skills (PIAAC), which evaluates the skills of adults in 22 OECD member countries and two partner countries. The PIAAC survey was designed to provide insights into the availability of some key skills and how they are used at work and at home through the…

Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use…

A case study approach was adopted to investigate two thinking skills programmes for a maximum variation sample of five- to six-year-olds in four schools, in two local authorities (LAs), in England and Wales, using multiple methods. School staff interviewed felt that thinking skills programmes enhanced critical thinking skills and improved use of…

Research on the counterintuitive Monty Hall dilemma (MHD) and analogous problems has shown that correct reasoning is rarely observed, even with the help of certain hints. Making the causal structure explicit or presenting probabilities by means of natural frequencies seem to enhance performance, but only to a moderate degree. The present…

The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…

How can teachers be helped, at relatively little expense, to improve their professional practice? This problem was addressed in "Improving Formative Assessment in Vocational Education and Adult Literacy, Language and Numeracy Programmes"--the IFA project. Adopting a specific problem-based methodology as part of an action research…

The key questions are: is it true that persons with Down's syndrome can study mathematics only at a very elementary level? Might it be possible that their difficulties are mainly restricted to some fields, such as numeracy and mental computation, but do not encompass the entire domain of mathematics? Is the use of a calculator recommended? Is…

Taiwanese students consistently rank near the top on international exams on mathematics and science. In 2007, Taiwan recorded the highest TIMSS math score for eighth grade. The central education agency in Taiwan publishes detailed mathematics curriculum guidelines, which textbooks and national exams follow closely. In May each year, all ninth…

Newman (1977, 1983) defined five specific literacy and numeracy skills as crucial to performance on mathematical word problems: reading, comprehension, transformation, process skills, and encoding. Newman's Error Analysis (NEA) provided a framework for considering the reasons that underlay the difficulties students experienced with mathematical…

The aim of this paper is to investigate the ways in which the number line can function in solving mathematical tasks by first graders (6 year olds). The main research question was whether the number line functioned as an auxiliary means or as an obstacle for these students. Through analysis of the 32 students' answers it appears that the number…