It is widely acknowledged that the transition from informal, everyday knowledge to formal, school-taught knowledge is a critically important stage in children's mathematical development. Research highlights the importance of making connections between the different representations of mathematics and the value of children's own mathematical…

Gesture is a powerful and frequent means of mathematical communication. It is a rich modality through which we may reach out to students and they may reach out to teachers, and this is particularly true for instances in which spoken language is not necessarily a commonality among classroom participants. Indeed, our movements help us share more…

Using the correct materials and manipulatives appropriately allows the richness of geometrical concepts to be fully investigated to enable students to explore and reason about shapes. This article explores some of the key ideas involved in learning about two dimensional shapes and discusses how materials can be used to support learning.

This article examines the importance of developing the notion of place value as a rate of ten. In exploring how to nurture this concept, the author looks at the role of the language of value, the problem types of multistep multiplication and addition along with measurement division, each with ten as an organizing unit, as well as strategically…

This paper reports on a research-based mathematics curriculum program development project in Sweden, whose educational context is currently characterized by multiple reform initiatives. Current reforms include a repositioning of the teacher as central for students' learning, but also a trend toward initiatives and teacher resources that are more…

Today it is critical to excite young people about mathematics in our high-tech STEM world we live in. Math teachers today need to embolden students to be confident in their ability to solve problems, to think and use their imaginations, to understand mathematical concepts, to be creative, and to see math as a human endeavor. The author feels that…

Though building from students' mathematical strengths rather than focusing on deficits is considered an important part of pre-service preparation towards equitable teaching, there is little research on how to support beginning teachers to carry forward this commitment. This paper reports on a design-based study aimed at supporting first-year…

Many studies in the past decades have focused on low and typical mathematics achievers, yet little is known about children with high mathematics achievement, particularly at a young age. The current study aimed to fill this gap and started from the early work of Krutetskii (1976) as a theoretical lens to study the characteristics of high…

Background. This article describes the redesign, implementation, and students' experiences with an elementary mathematics teaching methods course in the Pacific Northwest of the United States that was forced online due to COVID-19 restrictions. We share course design principles, changes to reflect online teaching, and students' experiences of…

This thesis evaluates the curricula implemented in four mother-tongue based multilingual education programs in the Philippines, Thailand, East Timor, and Cameroon. The method for conducting research in this thesis is based on the five principles to enhance learning presented by the World Bank and the prism model developed by Thomas and Collier.…

A 2017 study found that 87% of elementary teachers reported consulting Pinterest when planning mathematical lessons (Hertel & Wessman-Enzinger, 2017). When searching for resources on Pinterest, preservice teachers identified looking at the number of pins to determine their quality (Author, 2017). Which leaves teacher educators wondering, what…

Mathematical argumentation and proof has long been identified with algebraization. Much literature discusses the relationship between the two, but with little specificity on how particular semiotic features in argumentation relate to coordination in early algebra. Further, there is a particular lack of research on this topic in the…

The teaching and learning fractions is one of the most problematic areas in primary school mathematics. A large number of studies have engaged paper-and-pencil test to measure students' instrumental understanding about fractions but few have sought to learn about children's fraction sense. This paper reports a study that investigated fraction…

Problem posing is the act of creating one's own problems, unlike the traditional practice of solving problems posed by others. Problem posing is not a commonly taught topic. Though some students have difficulties acquiring problem-posing skills, the positive effects are far reaching. A quasi-experimental research design was used to determine the…

A multiple-baseline across participants design was used to investigate the effect of the Cover-Copy-Compare (CCC) intervention on multiplication-fact fluency for students with emotional and behavioral disorders (EBD). Although CCC is a well-researched intervention for mathematics, limited research has been conducted with students with EBD even…