In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

This is the executive summary for "Teacher Prep Review: Solving for Math Success." It provides key findings from the full report and recommendations.

Early intervention and identity-building can promote the idea among students that everyone is a math person. Natalie Parker-Holliman and Tenisha Marcel-Herbert share practical tools and strategies that schools and teachers can use to build students' confidence and strengthen their mathematical foundation. They highlight the significance of culture…

Gaining useful insight into real-world problems through mathematical modelling is a valued activity across several disciplines including mathematics, biology, computer science and engineering. Differential equations are a valuable tool used in modelling. Modelling provides a way for students to engage with differential equations within a…

Teachers' actions matter greatly in the mathematics classroom, but it is not always clear what guides their actions or from where they come. As teachers strive to create rich and engaging learning environments, how they capitalize on a particular moment is often unclear. Sometimes just identifying potential pathways to take can be challenging. In…

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…

The ability to interpret mathematical symbols and understand how they capture contextual relationships is a critical element of algebraic thinking. More often than not, students see algebra as merely a list of rules for manipulating abstract symbols, with limited to no meaning. Instead, for students to see algebra as a powerful tool and rich way…

Discover a bold new vision for high school mathematics that empowers students through engaging, real-world learning. For decades, mathematics education has been guided by the visionary efforts of educators and leaders who recognized the importance of making math relevant, engaging, and accessible to all students. From the foundational principles…

Effective mathematics teaching elicits and uses evidence of student thinking to assess progress toward mathematical understanding and adjusts instruction continually to support and extend learning (National Council of Teachers of Mathematics, 2014). However, as teachers march through content in precalculus, they tend to rely heavily on traditional…

As a prospective mathematics teacher, the most inspiring observation I, Audrey, the first author, made about Terry Wood, from those who spoke at the May 2021 Memorial Event, was her passion for mathematics education as evidenced by the intermingling of her work and personal life. From the colleagues whom she invited to live in her home to the…

Through galleries of graphs and short filmstrips, this paper aims to sharpen students' eyes for visually recognizing continuous functions. It seeks to develop intuition for what visual features of a graph continuity does and does not allow for. We have found that even students who can work correctly with rigorous definitions may not be able to…

Developing students' mathematical knowledge is the key focus of stakeholders involved in mathematics education. At the senior secondary level, for students' undertaking calculus-focused courses, teachers expect students to be fluent in applying procedures related to junior level content and understand the nature of mathematics as a web of…

The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal -- exemplified by a…

Students with autism spectrum disorder (ASD) are included in the general education classroom more often than ever before. Despite mathematical strengths and early success, these students experience poor outcomes (academic and employment) compared to their typically developing peers. The language of mathematics increases in complexity, use, and…