The concept of intellectual need, which proposes that learning is the result of students wrestling with a problem that is unsolvable by their current knowledge, has been used in instructional design for many years. However, prior research has not described a way to empirically determine whether, and to what extent, students experience intellectual…

We report findings from a longitudinal study of students' beliefs about empirical arguments and mathematical proof. We consider the influence of an 'Introduction to Proof (ITP)' course and the consequences of the observed changes in behaviour. Consistent with recent literature, our findings suggest that a majority of the thirty-eight undergraduate…

Having, in Part I, introduced the Math Ed Majors, the purpose of this article is to introduce a novel, unconventional, professional-golf-based author productivity index for those publishing their research and scholarship in the field of mathematics education. Once again, I look to men's professional golf, and men's major championships; however,…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

School closures induced by the COVID-19 pandemic led to concerns about student learning. This paper evaluates the effect of school closures on student learning in Uzbekistan, using a unique dataset that allows assessing change in learning over time. The findings show that test scores in math for grade 5 students improved over time by 0.29 standard…

Theoretical models have suggested that teachers' motivational beliefs relate to various student academic outcomes through particular teaching practices, and that teachers' motivational beliefs and teaching practices are reciprocally interrelated. However, these relations have rarely been tested in longitudinal work. We extend previous research by…

Using data on ninth graders, math teachers, and schools from the nationally representative High School Longitudinal Study of 2009, we investigate the following questions: (1) How do ninth graders' perceptions of their math teachers as equitable relate to their math identity at the intersection of adolescents' race and gender? and (2) Do…

We investigated the effect of conceptual transparency in the physical structure of manipulatives on place-value understanding in typically developing children and those at risk for mathematics learning disabilities. Second graders were randomly assigned to one of three manipulatives conditions: (a) attachable beads that did not make the…

If chosen carefully according to teaching purposes and incorporated into the curriculum, games can enhance teaching and learning. The use of didactic games while teaching maths can support students' motivation and performance during the lesson. Therefore, educational games should be preferred in maths classes as an alternative teaching method. In…

There is a body of research which highlights the importance of students studying mathematics at an advanced level, hence policy-makers worldwide look for ways to increase the uptake of advanced mathematics. In Ireland, the Government announced the introduction of a Bonus Points Initiative which came into effect in 2012, in an attempt to increase…

For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…

Faculty professional development is an important lever for change in supporting instructors to adopt research-based instructional strategies that engage students intellectually, foster learning-supportive attitudes and habits of mind, and strengthen their persistence in mathematics. Yet the literature contains few well-rationalized models for…

After about two years of emergency remote teaching during the pandemic, the teaching of mathematics is slowly returning to (what used to be called) "normal." However, after the period of mostly teaching online, there is uncertainty about the extent to which we will return to the way we were teaching before. In this survey paper we…

In this study, we aim to investigate the types of questions that Taiwanese mathematics teachers pose and in which instructional situations they do so during mathematics lessons at the secondary school level. The classroom teaching of six experienced mathematics teachers was analyzed. Quantitative analysis showed that the mathematics teachers tend…

The increasing presence of technologies at school has triggered a vivid debate on the way ICT influences students' learning process. Using PISA 2018 data for 15-year-old students and hierarchical linear models, we find an inverted U-shaped relationship between ICT use at school and students' performance in mathematics in 22 OECD countries. In all…