Although it is common for researchers to assess implementation fidelity (IF) within the context of math intervention, IF assessments are often restricted to intervention adherence. Further, the degree to which IF influences observed outcomes is commonly ignored. The current study examined the relationship between three aspects of IF and the math…

Numeracy has increasingly become a topic of importance and concern in our contemporary society. Student success in numeracy is influenced by the positive attitudes and values they hold about mathematics. This outreach project sought to foster the development of such attitudes and values through the design, implementation, and evaluation of a…

Background: For nearly three decades, policy-makers and researchers in the United States have promoted more intellectually rigorous standards for mathematics teaching and learning. Yet, to date, we have limited descriptive evidence on the extent to which reform-oriented instruction has been enacted at scale. Purpose: The purpose of the study is to…

This study explores the notion of deep learning as constructed in the discourses of practicing mathematics teachers. Analyses of data from written texts show that the teachers tend to conceptualise deep learning in terms of two broad categories: students' deep learning and the work of teaching for deep learning. In both categories, students'…

The aim of this study is to find out whether there is a connection between teacher's request and guidance for written explanation and third-graders' achievements in solving a non-standard problem. Pupils' task was to solve a simplified arithmagon and to explain their solution. The lessons of seven teachers were recorded and their actions were…

This paper was originally presented at the 25th Biennial Conference of AAMT, 'Capital Maths', and published in the Conference Proceedings. The author discusses the development and beginning implementation of a detailed sequence of concepts, with the intention of supporting teachers to support students to understand place value.

Test scoring procedures should align with the intended uses and interpretations of test results. In this paper, we examine three test scoring procedures for an operational assessment of early numeracy, the Early Grade Mathematics Assessment (EGMA). The EGMA is an assessment that tests young children's foundational mathematics knowledge and has…

This study aimed at searching the different effect of Student Teams Achievement Division (STAD) and Think Pair Share (TPS) types of cooperative learning models with Realistic Mathematics Education (RME) approach on the students' learning outcome viewed from students' learning activity. The observation, interview, questionnaires, and tests were…

In this article, we present aspects of teaching that draw attention to connections--both within and between examples--in order to explore the potential objects of learning that are brought into being in the classroom space and thus what is made available to learn. Our focus is on exploring differences in teaching over time, in the context of…

When the focus of instruction is on learning to use mathematical tools--such as a ruler or a calculator--as a procedure, students tend not to incorporate their own mathematical reasoning. This unreflective use of tools hinders students' questioning of the reasonableness of their answers. This article describes how children expressed their…

It is important for pre-service teachers to know the conceptual difficulties they have experienced regarding the concepts of multiplication and division in fractions and problem posing is a way to learn these conceptual difficulties. Problem posing is a synthetic activity that fundamentally has multiple answers. The purpose of this study is to…

Pedagogical content knowledge forms the core of teachers' professional knowledge; it refers to knowledge about making subject matter accessible to students. Thus, the formation of pedagogical content knowledge constitutes a crucial issue for educational research and practice. We investigated the contributions of content knowledge and pedagogical…

The aim of this study is to identify the effect of creative drama-supported problem-based learning approach on self-efficacy ability of the students in the geometry classes. The pretest-posttest control group experimental design has been used in this research. The study group has been chosen from 59 students studying in 5/F and 5/E classes at an…

The most commonly used Finnish mathematics teacher guides (Grades 1-6) are investigated so as to determine what kind of resource they constitute for teachers in planning and enacting mathematics teaching and what kind of mathematics classroom they promote. The structure and the main contents of the guides were found to be quite homogeneous. The…

Curiosity about student thinking lies at the heart of great mathematics teaching. When teachers are curious about and grounded in their students' thinking, their proficiency at eliciting, interpreting, and responding to student ideas increases (NCTM 2014). Coaching conversations that focus on students' thinking can support teachers in developing…