Although there is growing interest in implementation fidelity, little research has been reported on the sustainability over time of faithful implementations of learning innovations. This study examined the sustainability of teachers' implementation fidelity to the components of a prekindergarten mathematics intervention two full years after…

Rhetoric about the importance of students being equipped to apply mathematics to relevant problems arising in their lives, individually, as citizens, and in the workplace has never been matched by serious policy or curricular support. This paper identifies and elaborates authenticity implications for addressing this issue, and describes aspects of…

Increasingly iPads™ are being used in schools and prior-to-school settings, with a plethora of Apps available for mathematics learning. Despite the growing number of Apps available in the iTunes App Store, there has been limited systematic analysis of the pedagogic design of Apps designed for mathematics learning. This paper describes a content…

This article describes how in early mathematics learning, young children are often asked to recognize and describe visual patterns in their environment--perhaps on their clothing, a toy, or the carpet; around a picture frame; or in the playground equipment. Exploring patterns in the early years is seen as an important introduction to algebraic…

It is widely accepted that mathematical learning builds upon students' prior knowledge and understandings, and their identities. In this study, this phenomenon is explored with indigenous students in remote community schools in outback Australia. Through one-on-one task-based interviews, it was found that these students had some clear…

There exists an increased focus on school mathematics, especially first-year algebra, due to recent efforts for all students to be college and career ready. In addition, there are calls, policies, and legislation advocating for all students to study algebra epitomized by four rationales of the "Algebra for All" movement. In light of this…

This study reports teachers' insights and challenges after one year of adopting a curricular material designed to move students through carefully engineered, small steps and encourage learners through success and accessible challenges. The analysis of interviews showed that teachers 'followed' the material in different ways, not necessary in-line…

With rising personal and public debt, public and private employers increasingly shifting financial responsibility to individuals, and an increase in both the number of financial investment options and predatory lending practices, today's students need to be financially literate. This paper defines financial literacy and justifies its place in the…

In this article, fourth grade Upper Allen Elementary School (Mechanicsburg, Pennsylvania) teacher Jeffrey Smith describes his exploration of the Playing Basketball activity. Herein he describes how he found the problem to be an effective way to review concepts associated with the measurement of elapsed time with his students. Additionally, it…

The report "Mathematics Counts" or, in what became common parlance, the "Cockcroft" report was an unusual government report on a significant aspect of the school curriculum. Unusual because the author, William Cockcroft produced a set of ideas to which teachers of mathematics could relate and respond. It was said by one…

The roots of the general quadratic equation y = ax[superscript 2] + bx + c (real a, b, c) are known to occur in the following sets: (i) real and distinct; (ii) real and coincident; and (iii) a complex conjugate pair. Case (iii), which provides the focus for this investigation, can only occur when the values of the real coefficients a, b, and c are…

This paper explores teachers' perceptions of their learners' proficiency in statistical literacy, reasoning and thinking. Research in Statistics education has prompted a move away from the teaching of statistical skills, towards focusing on the development of statistical literacy, reasoning and thinking. The recent South African Grade 10-12…

A common claim about mathematics education is that it should equip students to use mathematics in the "real world". In this paper, we examine how relationships between mathematics education and the real world are materialised in the curriculum across a sample of eleven jurisdictions. In particular, we address the orientation of the…

This dissertation investigated whether math course sequence from 8 th to 9th grade influenced 9th grade math motivation, defined as perceived competence in math, sense of belonging in math, importance of math, and math anxiety. Two competing hypotheses were proposed suggesting that a more accelerated math curriculum (Algebra 1 in 8th grade versus…

Background/Context: As increasing attention is paid to preparing students to succeed in school, the development and adoption of research-based curricula have become progressively more important. However, many curricular designs lack a basis in scientific evidence; research and curricular design are frequently treated as two separate enterprises.…