An empirical study was conducted with the aim to develop teachers' confidence and proficiency with teaching mathematics through inquiry. The study followed 41 primary teachers and compared a regular mathematics lesson to a lesson taught using an inquiry approach; 19 of these teachers were also followed over three years. Lessons were coded on the…

Much is known about preschool children's mathematics learning and the role of play in that learning. Many early childhood educators are quite adept at observing and documenting the mathematics learning of the children in their settings. These teachers "notice" the children's mathematics but they are not the only ones to…

Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…

This article presents results of a research study. Sixty-one first graders' responses to interview questions about negative integer values and order and directed magnitudes were examined to characterize the students' mental models. The models reveal that initially, students overrelied on various combinations of whole-number principles as…

As students progress from working with whole numbers to working with integers, they must wrestle with the big ideas of number values and order. Using objects to show positive quantities is easy, but no physical negative quantities exist. Therefore, when talking about integers, the author refers to number values instead of number quantities. The…

This article is the text from a talk given to the conference The Primary Curriculum: English, mathematics and science in 2014 on 27 February 2013 at Canterbury Hall, London, organised by the National Association for Primary Education (NAPE). In it the author argues that the current consultation process is flawed as there is an ideological divide…

Examples and explanations are inherent elements of mathematics learning and teaching. This study explores the relationship between examples and explanations given for the same concept. Results indicated that for the concept of parity, fifth grade students offer different explanations for different examples. However, for the concept of equivalent…

The day-to-day business of being a science or mathematics teacher involves the continuous assessment of students. This, in turn, is an inherently discursive process. The aim of the present study is to examine some of the specific discursive practices through which science and mathematics knowing is jointly produced through classroom interaction.…

This collaborative concept-mapping exercise was conducted in a second-year mathematics methods course. Teachers' visual representations of their mathematical content and pedagogical knowledge provided insight into their understanding of how students learn mathematics. We collected 28 preservice student teachers' concept maps and analyzed them by…

This document presents the proceedings of the 24th Annual Research Forum held June 27, 2019, at Wake Forest University in Winston-Salem, North Carolina. Included are the following eleven action research papers: (1) How Does Student Goal Setting Affect Motivation to Learn? (Wendell Dunn); (2) Combatting Confirmation Bias: How Writing from Opposing…

This primer summarizes interdisciplinary collaborative mathematics as an integrative approach to train pre-service elementary teachers to teach math utilizing Junior Achievement USA (JA) educational programs within an elementary Math Methods course. The primer provides a JA historical background/program overview, summarizes the interdisciplinary…

Developing argumentation-based inquiry practices requires teachers and students to be explicit about classroom norms that support these practices. In this study, we asked: "How can a teacher scaffold the development of argumentation-based inquiry norms and practices in a mathematics classroom?" A primary classroom (aged 9-10) was…

Mairead Hourigan and Aisling Leavy describe a range of teaching and learning activities focusing on the identification and classification of 2-dimensional shapes. The activities described are useful in highlighting students' misconceptions regarding non-traditioanl and non-prototypical shapes.

The expanding use of data in modern society for prediction and decision-making makes it a priority for mathematics instruction to help students build sound foundations of inferential reasoning at a young age. This study contributes to the emerging research literature on the early development of informal inferential reasoning through the conduct of…

Research from industrial and organizational (I-O) psychology indicates that outside of K-12 education, employees' sense of fit with their organizations is often associated with job satisfaction, performance, commitment, and retention. Person-organization (P-O) fit has been conceptualized as the degree of congruence between an…