An understanding of concepts related to geometric measurement is considered to be critical to the development of individuals' mathematics knowledge. Specifically, the National Mathematics Advisory Panel's 2008 report listed the skills of area and perimeter as foundational for algebra readiness. Yet, this content knowledge continues to be an…

In K-12 statistics education, there is a call to integrate statistics content standards throughout a mathematics curriculum and to teach these standards from a data analytic perspective. Annotated lesson notes within a lesson plan are a freely available resource to provide teachers support when navigating potentially unfamiliar statistics content…

The use of the algebraic method for solving word problems is a challenging topic for secondary school students. Students' difficulties are usually associated with extracting the problem's network of relationships between quantities and with formalizing these relationships into algebraic language in a problem model. Both sources can coexist and…

In light of the recent interest in mathematical competencies and the ways in which students communicate their ideas, this study aims to explore how undergraduate students communicate their ideas about mathematical tasks through written texts. Forty-three first-year undergraduate students participated in this study. They were given a graph of a…

This study examined opportunities provided for preservice secondary mathematics teachers (PSMTs) to learn reasoning and proof in algebra from the perspective of college instructors. We analyzed interview transcripts of 15 course instructors recruited from three teacher education programs in the United States. We examined the reported opportunities…

To explore and identify gaps in students' opportunities to take and prepare for advanced math since the coronavirus disease 2019 (COVID-19) pandemic, RAND Corporation researchers conducted a nationally representative survey of teachers and principals in spring 2022. The researchers focused on two key ingredients that enable equitable student…

This study aims to evaluate cognitive conflict in constructing mathematical concepts, based on thinking errors. The data were collected through observations of words or sentences, leading to the derivation of qualitative outputs. Furthermore, the results showed that the two selected subjects experienced cognitive conflicts regarding thinking…

Articulated pedagogical and didactic strategies allow improving academic quality and strengthen individual and institutional cognitive processes such as student retention. Mathematical modelling, articulated with complementary actions, contributes to teaching and learning processes within situations that go beyond the classroom since they are…

The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…

The purpose of this study was to examine the effect of the COVID-19 pandemic on ninth-grade students' mathematics achievement in a rural school district located in South Carolina. Students enrolled in ninth grade prior to the COVID-19 pandemic (2018- 2019 school year) Algebra I EOC scores were compared to the students enrolled in ninth grade for…

The overarching goal of this quantitative study was to determine if there were significant differences in the Louisiana Education Assessment Program (LEAP 2025) achievement scores of Algebra I students before and after attending summer remediation. The sample size consisted of 581 freshman students from the 2016-2017, 2017-2018, 2018-2019, and…

Most mathematicians state mathematics is a field of beauty, creativity, and innovation, yet what is echoed by students is not how mathematics allows students to explore, but rather the ways in which it constrains and does not necessitate creativity. In comparison, many students associate coding with freedom, and the ability to create and express…

We share results from a one-year early algebra classroom intervention. One kindergarten, one first-grade, and one second-grade classroom participated in the intervention and three classrooms of the same grade levels served as control sites. The intervention addressed the structure of even and odd numbers, mathematical equivalence and equations,…

In this article, the authors describe the two interpretations of mathematical expressions, as a process and as a product. They begin with an initial discussion of Tall's (2013) interpretations of expressions and connect this to state standards. Next, they describe the different interpretations of algebraic expressions based on their work with…

This study reports a small part of a large-scale study. In this vein, trends in cognitive demand levels of mathematical tasks in the Algebra Learning Domain of 5 mathematics textbooks prepared according to four middle school mathematics curricula that have been updated since the beginning of the 2000s in Turkey were determined. This study is a…