This study explored children's area estimation performance. Two groups of fourth grade children completed area estimation tasks with rectangles ranging from 5 to 200 square units. A randomly assigned treatment group completed instructional sessions that involved a conceptual area measurement strategy along with numerical feedback. Children tended…

Some views of elementary teacher preparation may include the idea that undergraduate mathematics courses are useful or even crucial for prospective teachers to have. This study sought to identify teacher candidates with mathematics degrees, in order to study their mathematical preparation. The identified prospective teachers were studied to…

As the field draws to greater consensus around components of productive mathematics classrooms, the need increases to answer questions about how we operationalize and measure these components and how we can actualize such practice in classrooms. This research report shares an analysis from a larger project aimed at describing and quantifying…

Teacher noticing requires listening to student sense-making, interpreting the mathematical understandings teachers hear, and deciding how to respond based on what they notice in a specific interaction. Teachers manage what they notice about students in instructional interactions to both make key teaching decisions and adjust their interactions…

We use number sense in our daily lives to make decisions about quantities. This number sense is connected to our mental number line, in which we draw on our understanding of physical number lines. We often use number lines in the elementary grades for counting and to represent mathematical operations, such as addition and subtraction. Such tasks…

If we envision a future for Black young learners where their full humanity is honoured and educators facilitate rigorous science, technology, engineering, and mathematics (STEM) learning experiences that are justice-focused, "we must disrupt systemic racism now." In this article we discuss how anti-Blackness is pervasive in science and…

Providing students the autonomy and choice to learn when productive struggle becomes unproductive is a core teaching belief in the author's classroom. The author teaches in a multiage classroom where he has 16 first- and second-grade students, ages 6, 7, and 8. Like other educators, he believes in the importance of productive struggle. The author…

The transition from primary to secondary education tends to have deleterious effects on student achievement and motivation in mathematics, and these effects have been significantly linked to lack of curricular and pedagogical continuity at transition. Curricular and pedagogical practices in each phase of schooling are influenced by a number of…

In the context of early algebra research and as part of a classroom teaching experiment (CTE), we investigated fourth grade (9- to 10-year-old) students' justifications of how they performed tasks involving the functional relationship y = 2x. We related their written justifications (part of the task) to the task characteristics, which included…

Mathematics is a core subject in South Africa. Studies have shown that the performance of learners on this subject is not encouraging. Many factors have been alluded to by scholars as contributing factors to this poor performance. The gap between theory and practice of mathematics teaching can be bridged by the use of appropriate learning styles,…

This study aimed to analyse whether primary school mathematics textbooks in Turkey (grades 1 to 4) are fair concerning gender. The study analysed four mathematics textbooks approved by the Ministry of National Education and published for use in the 2019-2020 school year. These books were examined in terms of the ratio of the appearances of women…

The article focused on the use of assessment for learning in promoting active learning and learner participation in mathematics. Assessment for learning (AfL) has been found to enhance learning and improve performance. However, teachers' use of AfL to enhance active learning has not been clearly outlined. This study is part of the broader research…

Background: The co-establishment of social and sociomathematical norms in the microculture of South African classrooms and its possible effects on early number learning has largely been unexplored. Social norms are considered to be general classroom norms that are relevant in any teaching and learning space, whilst sociomathematical norms are…

The present study compared Turkish and Singaporean textbooks with respect to their instructional contents on a difficult topic for most students: the concept of angle. The study used the 3rd and 4th grade mathematics textbooks taught in Turkish and Singaporean schools. The analysis showed that Turkish textbooks defined the angle as a static…

Specialised Content Knowledge (SCK) is defined by Ball, Hoover-Thames, and Phelps (2008) as mathematical knowledge essential for effective teaching. It is knowledge of mathematics that is beyond knowledge which would be required outside of teaching; for instance, the capacity to determine what misconception(s) may lie behind an error in…