In this commentary we take a critical look at the various studies being reported in this issue about the relationship between cognitive neuroscience and mathematics, from a mathematics education viewpoint. After a discussion of the individual contributions, which we have grouped into three categories--namely neuroscientific studies of (a)…

Very recently, in the "Australian Association of Mathematics Teachers (AAMT)/Australian Industry Group quantitative report" (2014), concerns were raised that school mathematics is lacking real world application. This report highlighted the gaps between school mathematics and the requirements of the workplace. After interviewing industry…

We report on interview results from a classroom teaching experiment in a Number and Operations course for prospective elementary teachers. Improving the number sense of this population is an important goal for mathematics teacher education, and researchers have found this goal to be difficult to accomplish. In earlier work, we devised a local…

Research tells us that success in algebra is a factor in many other important student outcomes. Emerging research also suggests that students who are started on an algebra curriculum in the earlier grades may have greater success in the subject in secondary school. What's needed is a consistent, algebra-infused mathematics curriculum all…

Multiplicative thinking is a "big idea" of mathematics that underpins much of the mathematics learned beyond the early primary school years. This paper reports on a current study that utilises an interview tool and a written quiz to gather data about children's multiplicative thinking. The development of the tools and some of the…

Our study is on developing mathematics items for Computer-Based Testing (CBT) using Tablet PC. These items are subject-based items using interactive dynamic objects. The purpose of this study is to obtain some suggestions for further tasks drawing on field test results for developed items. First, we clarified the role of the interactive dynamic…

This paper explores how a group of pre-service elementary school teachers training to become mathematics teachers for elementary schools arrived at generalizations based on patterns. Two representative problems were investigated with these preservice teachers. The focus of this study was how these preservice teachers analyze and symbolize…

Spatial thinking is an important predictor of mathematics. However, existing data do not determine whether all spatial sub-domains are equally important for mathematics outcomes nor whether mathematics-spatial associations vary through development. This study addresses these questions by exploring the developmental relations between mathematics…

Children from low-income families often enter kindergarten academically behind their higher income peers. Recent findings also indicate gaps in social-emotional aspects of school readiness, raising questions about cross-domain relations. Using a subsample (N = 3,485) of 3- and 4-year-olds attending center-based programming in the Head Start Impact…

The prevalence of tablet computer use among young children has risen dramatically, as have educational apps claiming to promote school readiness skills such as mathematical knowledge. Parents can contribute to their preschoolers' math readiness through the math talk they provide during everyday interactions in traditional nonelectronic activities.…

The purpose of this study was to investigate secondary mathematics teachers' conceptions of mathematical literacy, which are important to consider when is essential to address in designing and implementing effective approaches. Data sources included semi-structured interviews with 16 in-service mathematics teachers from different types of…

By its nature, the learning of certain complex contents has always been a focus of attention and a challenge in the study of mathematics. This fact acquires greater importance if it is about the learning of children, because the psycho-cognitive skills of this type of user, especially when they attend the first levels of Basic General Education…

Science is a much-revised and contested area of the curriculum. A new curriculum has recently been introduced in England which includes far more mathematical aspects of science than previous versions. This study asks what the influences, ideologies and values are which led to this change. A two-phase qualitative approach was followed comprising…

Based on longitudinal data (n = 338) from the German National Educational Panel Study (NEPS) competence development (mathematics and language) of three groups with different mathematical preconditions (+/- 1 SD) were compared between age 4 to 10. Groups were composed by first measurement of mathematical achievement in pre-school age (5/6 years).…

This article reports proof schemes used by pre-service mathematics teachers enrolled in third- and fourth-year mathematics education courses at a Midwestern university. Six pre-service teachers constructed proofs for mathematical conjectures and were subsequently interviewed. Using Harel and Sowder's (1998) proof schemes theoretical framework, the…