This executive summary report includes results for Austin Partners in Education (APIE) programs in 2019-2020 including math classroom coaching, GEAR UP tutoring, college readiness, and mentoring. It highlights continued academic programs serving students in middle and high school and describes APIE support provided to teachers' instruction. As…

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…

Mathematics instruction would be more effective if students were able to help each other and exchange information actively. This can effectively be done when students are engaged in cooperative learning. The study was intended to analyse the extent to which mathematics education is supplemented with cooperative learning in Grade 9 of Secondary…

In this article, the author, a ninth grade teacher at a Title I high school, describes how she began her algebra classes with an open-ended research project, entitled Why Math? This project offered opportunities for students to reflect on why mathematics is important and to determine its relevance to them as individuals, that is, why…

This study investigated the impact on Year 10 students' attitudes towards mathematics when learning mathematics in a sporting context. A closed ended, self-reported questionnaire with Likert type statements was used to collect data. Individual statements were analysed by comparing the percentage of students agreeing or disagreeing pre-teaching and…

In contrast to existing research that has typically addressed the process from example generation to proof construction, this study aims at enhancing empirical examination after proof construction leading to revision of statements and proofs in secondary school geometry. The term "empirical examination" refers to the use of examples or…

Elementary school teachers' math anxiety has been found to play a role in their students' math achievement. The current study addresses the role of teacher math anxiety on ninth-grade students' math achievement and the mediating factors underlying this relationship. Using data from the National Mindset Study, we find that higher teacher math…

Implementing an integrated sequence of concrete-representational-abstract depictions of mathematics concepts (CRA-I) can improve the mathematics achievement of students with disabilities, and explicit instructional strategies involving problem-solving heuristics and student verbalizations can help facilitate students' conceptual understanding of…

There is significant research addressing identities in mathematics focusing on school children and maximizing testing scores. However, mathematics confidence in preservice teachers is something that needs further attention as they will have foundational roles in students developing lifelong mathematics identities. Hence, mathematics confidence in…

Formative assessment is considered to be a promising teaching practice for promoting teaching and learning processes. The implementation of teaching practices into instruction involves intervening with a learning environment that is characterised by certain features of instructional quality. Our study aims to contribute to the understanding of…

Originally written 30 years ago, this paper is an analysis of the central challenge of schooling--that of engaging fully the powers of students' minds in classroom learning. This challenge maintains its relevance today. The work of engaging what John Dewey referred to as students' "inner attention" becomes the focus of an investigation…

This article presents findings from a study focusing on ako in mathematics teaching in one English-medium secondary school classroom. The participants were a Year 9 class (22 akonga with varying ethnicities and mathematics achievement levels) and their non-Maori kaiako, the researcher. Data were generated through surveys, discussions between…

At a time of persistent unemployment, especially among the less skilled, many wonder whether our schools are adequately preparing students for the 21st-century global economy. Despite above average employment rates, firms are experiencing shortages of educated workers, outsourcing professional-level work to workers abroad, and competing for the…

The purpose of this study was to examine the relationship between scheduling and first-year-high-school students' exam scores on the South Carolina Algebra I End-of-Course (EOC) assessment. The study compared existing empirical data from two southeastern high schools from the same school district using 4 X 4 block schedules from 2011-2014 and…

Algebra I is a crucial course for middle and high school students for successful STEM-related coursework. A key issue is whether students should take Algebra I in Grade 8 versus Grade 9. Large-scale policy studies show conflicting results, and there are few (particularly longitudinal) individual difference studies. In the study, 53 students were…