The study of secondary mathematics involves many ideas, but too often high school mathematics curriculum materials and instruction begin by giving students the vocabulary first, along with definitions, before students have been able to explore the ideas. Particularly for students bureaucratically designated as English Learners, preteaching…

Nearly 1 out of every 5 students in California K-12 schools is an English Learner, yet our latest research in brief finds that the majority of teachers across the state are not being given the resources and support they need to effectively teach math to the hundreds of thousands of emerging bilingual students. The study, California Mathematics…

This Working Group builds on the accomplishments of the Working Groups in 2015, 2016, and 2018. We will continue considering multiple aspects of research and practice related to mathematics learning and teaching with English Learners. Our goals for the 2019 Working Group include: (1) sharing an opportunity to publish empirical research related to…

In February 2020, the Ministry of Education asked the New Zealand Council for Educational Research (NZCER) to examine the curriculum-levelling construct that sits at the heart of The New Zealand Curriculum (Ministry of Education, 2007). A key goal of the research was to investigate, whether-- and if so, how--the construct helps (or hinders)…

The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

It is widely acknowledged that communicating mathematical thinking is complex, difficult, and often messy. In this article, the authors explore how mathematical thinking is communicated, providing examples of strategies for teachers and students to use in the mathematics classroom.

Exploring ways to develop a transformative curriculum vision for mathematics education that is inclusive to opposing perspectives and ideologies, this mindful inquiry explores "mindless" views embedded in the mathematics curriculum of Nepal; explores narrowly conceived disempowering assumptions within it; engages in dialectical…

The goal of the proposed working group is to create a space for those interested in researching issues around the teaching and learning of statistics to meet, discuss, synthesize past research, and begin to strategize ways of leveraging multiple perspectives and expertise to identify and address current challenges in statistics education. The…

This special issue comprises five studies which vary in their focus and mathematical content, yet they all share an underlying communicational theoretical framework--commognition. Within this framework, learning mathematics is defined as a change in one's mathematical discourse, that is, in the form of communication known as mathematical. Teaching…

In this paper, an example is offered of a problem-solving task for senior secondary school students which was given in the context of a story. As the story unfolds, the task requires progressively more complex forms of linear programming to be applied. Coding in MATLAB is used throughout the task in such a way that it supports the increasing…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

As expectations for students to meet high academic standards have risen over the past two decades, so have the expectations for students to complete, and excel in, more rigorous mathematics courses. Once a course reserved only for the college-bound, algebra is now a graduation requirement for all California students as well as an early…

As states and school districts grapple with how to teach the skills outlined in the new common standards, two foundations have announced a partnership aimed at crafting complete, online curricula for those standards in mathematics and English/language arts that span nearly every year of a child's precollegiate education. The announcement last…

Hispanic English-language learners and other students learning English are failing in K-12 mathematics. The field has not responded with mathematics curricula designed for this population, especially at the middle grades. In response to this academic crisis, the Help with English Language Proficiency (HELP) Math program for middle school students…

In this article, I argue that emancipatory possibilities for Maori, the Indigenous people of New Zealand, rely on structural changes that enable them to have control over resources, decision making, and meaning, and that emancipation is a journey traveled by oppressed groups as they exercise their collective agency. The 1990s development of…