This paper provides a narrative account describing how a first-year teacher's empowering care in her mathematics classes in an inner-city high school in Southern California contributed to better student learning and helped raise district-wide test scores. The purpose of the article, chronicled from a practitioner's point of view, examines how…

In South Africa, limited studies have been conducted investigating responsive teaching and little is known about how teachers respond to unexpected events 'in the moment' that did not form part of their planning. In this article, we report how a Grade 9 novice and expert teacher responded to unexpected learner offers during the teaching of algebra…

Mastery-grading techniques such as mastery-based grading, specifications grading, and standards-based grading are assessment techniques professors are implementing in order to support a growth mindset of learning, decrease test anxiety, and help students develop a deeper understanding of course objectives. In this paper, we provide an analysis of…

This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…

In this study, a community of high school Common Core Algebra I teachers in a socio-economically and racially diverse suburban high school participated in a lesson study process facilitated by an instructional coach to design curriculum for an algebra lab model. The model was intended to address issues of equity and access in mathematics…

The Better Math Teaching Network (BMTN) is a networked improvement community (NIC) of researchers and high school teachers from New England who use improvement science principles to deepen student engagement in algebra content. The BMTN began as a pilot during the 2015-16 school year and concluded in fall 2021. Key learnings from the network…

From 2016 to 2021, the Better Math Teaching Network (BMTN) aimed to transform high school mathematics teaching in New England. Researchers and teachers worked together to make high school Algebra I classes more student centered. The BMTN was piloted with a group of nine teachers during the 2015-2016 school year and added teachers the following…

Although visual representations are generally beneficial for learners, past research also suggests that often only a subset of learners benefits from visual representations. In this work, we designed and evaluated anticipatory diagrammatic self- explanation, a novel form of instructional scaffolding in which visual representations are used to…

Prior research in mathematical assessments has indicated varying results of predictive variables and further research has been recommended to support students, parents, teachers, and school administration. The purpose of this research was to determine how well a student's performance on a mathematics domain at the state level may be predicted…

Morrisania College Preparatory Academy (MCPA) is a small middle school comprising Grades 6-8 located in the Bronx, New York, which offers full integrated co-teaching (ICT). MCPA struggled with mathematics achievement for the first 3 years of its operation. To improve student outcomes in mathematics, the vice principal assisted with all classroom…

In the United States, there had been a push for Algebra for All in the early 1990's in an effort to increase performance on international assessments and provide equity for low-income students and students of color. As the number of students in eighth grade Algebra I increased, a small number of students enrolled in seventh grade Algebra I also…

Teaching in ways responsive to the cultures of our students is vital towards enhancing equity of access to mathematics achievement and putting educational policy into practice. New Zealand has the largest group of Pasifika people in the Western world, a multi-ethnic group of indigenous people from Pacific Island nations who have differing cultural…

The aim of this paper is to analyse the reasoning and symbolisations used by sixth grade Moroccan students in solving a task based on figurative patterns. Our analysis aims at identifying the systems of actions elaborated by the students to give the general expression of the sequence, according to their perceptions of the sequence of its patterns.…

Literature has established that some learners encountered difficulties solving first order ordinary differential equations (ODEs). The use of error analysis in teaching ODEs is believed to make essential contribution towards calculus knowledge development. This paper therefore focuses on analyzing pre-service teachers' (PSTs) errors and…

This article describes a modeling project the author did with his algebra, geometry, and applications students in grades 9, 10, and 11 as an enrichment and exploration of an extremely relevant real-world phenomenon and introduction to the adult profession of epidemiologist. With discussion and exploration, this project consumed two periods of 88…