This collaborative inquiry between an academic (James Russo) and two school-based practitioners (Jessie McCosh and Travis Hewish) explores student attitudes towards learning mathematics through problem solving in a medium sized primary school in regional Victoria.

Instructional interactions that occur between teachers and students around foundational mathematics topics are critical for supporting mathematical proficiency among students with mathematics learning disabilities (MLD). This study investigated whether the initial mathematics skill of 880 kindergarten students at risk for MLD predicted the…

Research suggests more students have experienced more unfinished learning over the last year than ever before. With the COVID-19 pandemic waning, school systems are facing a critical choice about how to respond. Should they use the traditional approach of reviewing all the content students missed, known as "remediation?" Or should they…

The "Let's Count" Community Professional Pilot 2019 took place in six sites across three states (New South Wales, Queensland and South Australia). The aim of the pilot program was to implement the "Let's Count" face-to-face program for the first time with a group of people who work with young children and their families but who…

Black women have been making successful strides in mathematics for decades; however, they continue to be underrepresented in mathematics and other STEM fields. According to Young et al. (2017), Black girls and women perform lower in mathematics than all other racial gender groups except for Black males. Considering the stakes for Black girls and…

Errors in mathematics are common hurdles for teachers and students; therefore, it is important to learn what errors students make and how students treat them. This study initially identified the types of errors students made while working with algebraic expressions and documented and analyzed the process of students completing an error analysis…

Research suggests that gendered languages are associated with gender inequality. However, as languages are embedded in cultures, evidence for causal effects are harder to provide. We contribute to this ongoing debate by exploring the relationship between gendered languages and the gender gap in mathematics achievements. We provide evidence for…

The use and understanding of mathematics is a crucial component of the physical sciences. Much work has been done in physics education research and science education more broadly to determine persistent difficulties with mathematics. This work has led to the development of numerous problem solving strategies aimed at helping learners approach…

Dispositions associated with math skills, including creative problem solving, analysis, reflection, and persistence, are valued in a variety of professional contexts (Durksen, Bobis, Anderson, Skilling and Martin, 2014, World Economic Forum, 2018). Math achievement on international math assessments show that U.S. students do not perform as well as…

A first-year algebra student's curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics. In this article, the authors, math teachers in Massachusetts, examine how to solve for factorials of negative numbers and discuss how they taught…

The purpose of this quasi-experimental quantitative study was to determine if the incorporation of a student response system in third grade mathematics led to an increase in student achievement as measured by the MAP Growth: Math 2-5 CCSS 2010 V2 interim assessment. The study was founded on the basis that providing students with educational…

The purpose of this study was to explore the efficacy of fractions intervention with and without an embedded self-regulation (SR) component for third-grade students at risk for mathematics disabilities. Fractions intervention focused on magnitude understanding and word problems. Embedded SR was designed to support a growth mindset (fostering…

The purpose of this study was to assess whether intervention with an integrated focus on fraction and decimal magnitude provides added value in improving rational number performance over intervention focused exclusively on fractions. We randomly assigned 4th graders with poor whole-number performance to 3 conditions: a business-as-usual control…

In this note, we revisit the problem of polynomial interpolation and explicitly construct two polynomials in n of degree k + 1, P[subscript k](n) and Q[subscript k](n), such that P[subscript k](n) = Q[subscript k](n) = f[subscript k](n) for n = 1, 2,… , k, where f[subscript k](1), f[subscript k](2),… , f[subscript k](k) are k arbitrarily chosen…

Given three planes in space, a complete characterization of their intersection is provided. Special attention is paid to the case when the intersection set does not exist of one point only. Besides the vector cross product, the tool of generalized inverse of a matrix is used extensively.