It is critical for mathematics tasks to provide students with the opportunity to engage actively in reasoning, sense making, and problem solving so that they develop a deep understanding of mathematics. Learning mathematics while solving a problem can be like entering a dark room with a single small light. The objects are in the shadows, difficult…

Exemplification is significant for the teaching of mathematics and revealing mathematical structure to learners. Structured exercises and learner generated examples (LGEs) are pedagogical tools intended to provide opportunities for learners to discern and generalize mathematical structure. The aim of this study was to understand how middle school…

Mathematics education researchers have sought to understand the knowledge that teachers need to teach mathematics effectively. Teachers need to know more than merely knowing how to "do the math" at a particular grade level. However, the research community differs on the nature of that knowledge. The construct of "horizon content…

This study aims to determine the opinions of teacher candidates about using history of mathematics (HoM) in the instruction of mathematics. Research data was collected from elementary mathematics education 4th grade students through semi-structured interviews conducted for the purpose of collecting their opinions about using HoM in the instruction…

We draw on our work with designed instructional sequence on Fractions as Measures across three international contexts and explore the functions of the design features related to the stories embedded within the sequence. We discuss functions that relate to how stories support students' meaningful engagement in classroom mathematical activities,…

As part of a much larger study where spatial reasoning is the focus, this paper draws on the language aspects of this strand of the curriculum. The quarantined part of the project discussed in this presentation is based in remote Indigenous schools. We draw on the challenges of the concept of symmetry and where the language of instruction (and…

We describe the mathematical content knowledge a teacher needs in order to achieve a basic level of competence in mathematics teaching. We also explain why content knowledge is essential for this purpose, how Textbook School Mathematics (TSM) stands in the way of providing teachers with this knowledge, and the relationship of this concept of…

To better understand how to support high school students' engagement, advancements in research methods that provide greater understandings of malleable factors of engagement and conditions that affect students' engagement are needed. In this conceptual paper, we introduce four dilemmas that researchers need to navigate to study secondary students'…

In this paper I discuss the possibilities for exploring the hundred chart kinesthetically with elementary preservice teachers using a life-size hundred chart--an innovative tool, homemade from a shower curtain--to build quantity sense. Preservice teachers explored creative approaches to teach mathematics using the life-size hundred chart and…

This study reports on efforts over several years to design and implement a yearlong intervention intended to support secondary mathematics teachers in their early years of teaching. The intervention is designed to retain early career mathematics teachers in the professions by engaging them in the development of meaningful professional…

Teacher knowledge is particularly important in middle school mathematics to enhance the meaningful transition from arithmetic to algebra. Developing a solid understanding of algebra requires teachers to unpack the meaning underlying the basic concepts, make clear and explicit distinctions among concepts, and facilitate students to connect these…

Mathematical and didactic knowledge presented in mathematics textbooks and other resources, like mathematics comics (MCs), needs to be evaluated from a lens of appropriate theoretical framework in mathematics education before it can be used as a medium for teaching and learning mathematics. Therefore, this study investigates mathematical and…

Mathematics is a branch of science that is used to understand and explore the relationship between the parts that make a great structure or a whole, the cause-and-effect relationships between the parts and the whole, all natural phenomena and, life in short. Students in Math must make progress in learning to follow teacher's instructions and…

Mathematics and technology serve the health sciences as demonstrated in this article, cowritten by one of our calculus students. Creating a lesson based on dosing an antibiotic allows teachers and students to see the immediate value of high school calculus and technology.

Using the "Middle School Student Mathematics Learning Non-intellectual Questionnaire," a total of 1,400 middle school students in 11 districts and counties of Tianjin were surveyed. According to the data, using the raw score normalization method and the formula "T = 50+10×Z", the non-intellectual overall and sub-dimension norm…