The Florida Center for Research in Science, Technology, Engineering and Mathematics (FCR-STEM) was awarded a grant by the Florida Department of Education to develop a Mathematics Formative Assessment System (MFAS) aligned with the Common Core State Standards (CCSS). Intended for both teachers and students, formative assessment is a process that…

Background: Growing attention has been paid to the possibility of supporting early numeracy in at-risk kindergartners. Furthermore, it is assumed that language proficiency is an important prerequisite in early maths skills. Aims: To examine whether remedial early numeracy education in kindergarten, which has been proven to be effective in general,…

Meaning and importance of proof in mathematics and education increases gradually. Therefore levels of doing proof, proof-related opinions and perceptions of the teachers and pre-service teachers who will train the students in future are of importance. Accordingly, this study aims to determine the proof-related opinions of pre-service elementary…

In this article, I discuss a case of pre-primary and primary school teacher education concerning place value in number representation. In primary school (in Italy, in grades 1 and 2), the topic is usually introduced by means of manipulatives (for instance, abaci and base ten blocks). But it is well known that no artefact is transparent for…

Background/Context: A number of recent policies have specifically attacked immigrants and English Language Learners (ELLs), including Georgia's HB 87 (2011), Arizona's SB 1070 (2010), and Alabama's HB 56 (2011), among others. The policy focus of this study is Arizona's HB 2064 (2006), which added additional requirements that mandate tracking…

This research aim is to know the students' understanding in adding number up to 20 using traditional game of dakocan and to acquire learning trajectory of adding number up to 20 using traditional game of dakocan for the first grade of primary school. This research used methodology of design research that consists of three phases, there are…

This paper highlights the Indonesian's road transportation contexts, namely, angkot, that used in learning and teaching of addition and subtraction in first grade and second grade MIN-2 Palembang. PMRI approach that adopt from RME [Realistic Mathematics Education] was used in this design research. From teaching experiment was founded that the…

Knowing number facts up to 10 become crucial if we want students to solve addition and subtraction problems using more abbreviated strategies. Otherwise, students will keep counting one-by-one until they get an answer. One of important number facts is number pairs that make ten because it is an important "benchmark" that students will…

A problem with interpretations of differences in mathematic achievement between students from Asian countries and those from the United States is the seemingly implicit assumption of the cultural homogeneity of Asian societies. Researchers rarely measure the effects of variables within cultures that are hypothesized to be related to differences…

This article relates to an empirical study based on the use of mathematical symbolism in problem solving, twenty-five pupils were interviewed individually at the end of grade one; each of them was asked to solve and symbolize 14 different problems. In their classical curriculum, these pupils have received a traditional education based on a…

This comparative study analyzed the similarities and differences in the mathematical communication used by teachers and primary school students in Japanese, Lao, and Thai mathematics classrooms. It adopted a qualitative research design, and the targets were teachers and students in Grades 1-6 at a selected school in each of the three countries.…

The study reported in this article examined relations between ethnicity, out-of-school activities, and arithmetical achievements in Latin American and Korean American children in first, second, and third grades. Three types of data were collected: parents' educational attitudes and beliefs, parents' reports of children's everyday activities with…

The cardinal and ordinal aspects of number have been widely written about as key constructs that need to be brought together in children's understanding in order for them to appreciate the idea of numerosity. In this paper, we discuss similarities and differences in the ways in which understandings not only of ordinality, cardinality but also…

Pictorial representations are often used to help children understand the situation described in a given number-sentence scheme. These static pictorial problems essentially attempt to depict a dynamic situation (e.g., one bird flies away while there are three birds still sitting on the fence). Previous research suggested that such pictorial…

This paper examines the outcomes of a 4-year implementation of a mathematics program (Representations, oral language and engagement in Mathematics: RoleM) for Australian Aboriginal and Torres Strait Island students' learning of mathematics across the first 4 years of primary school (Foundation--Year 3). It specifically aims to determine how…