The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…

This review article focuses on the teaching of computer programming in primary school mathematics, as reported by 37 empirical studies. Our findings show that a variety of research methods are used, which often combine qualitative and quantitative approaches. Furthermore, we found the focus of attention to vary from emphasis on the teacher and the…

In this new era, computational thinking is becoming increasingly intriguing for indepth study. The 2022 PISA framework illustrates that computational thinking can play a significant role in solving real-world mathematical problems, both in formulating problems and in mathematical reasoning processes. Many countries have integrated computational…

In-service teachers implementing a science, technology, engineering, and math (STEM) curriculum centered on computational thinking (CT) work with unique content and pedagogical experiences. Understanding how curriculum design and teacher professional development affect curriculum implementation can help researchers understand the critical aspects…

Cognitively Guided Instruction (CGI) is a teacher PD program that has been found to have a potentially positive impact on student learning in mathematics through randomized controlled trials. Through a series of grant-funded projects led by FSU, approximately 2,000 Florida teachers have participated in CGI-based professional development in the…

This article aims to present a first approximation of the conceptual field of measures of central tendency (MCT), grounded in the theory of conceptual fields. We propose six situations according to type of variable, data presentation (raw or grouped) and amount of data. We revisit specific situations for the mean and exemplify several…

Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…

Four operations algorithm is among the major topics occupying a significant position in primary school schedule. Moreover, utilizing alternative strategies during the education process and improving operation flexibility of students also considered important in teaching of mathematics. Flexibility in computing is the ability of solving any…

This study presents a teaching experiment in which second-grade primary school students compared a city and a town according to population estimates. The activities were presented to them as Fermi problems and required an analysis of the reality to identify sub-problems that students could deal with. The students' products were analyzed from the…

This study's first purpose was to investigate effects of a fourth- and fifth-grade "next-generation" fraction intervention, which included six enhancements over a previously validated fraction intervention, designed to address career- and college-readiness standards. The study's second purpose was to assess effects of the next-generation…

Adding Digital Technologies curriculum content into primary classrooms may feel, to many primary teachers, like a new burden and more work--but many aspects of computational thinking can be explored in the context of our existing mathematics programmes. This article highlights the connection between computational thinking and mathematics, and…

The author presented a math task asking all his 3rd graders to find ways to count seven sets of eight donuts, arranged in grids of two-by-four. He hoped this task would lead students toward fluency in single-digit multiplication, albeit in a manner that was inherently personalized learning, with students choosing their own methods to reach an…

This study's 1st purpose was to investigate effects of a 4th- and 5th-grade "next-generation" fraction intervention, which included 6 enhancements over a previously validated fraction intervention, designed to address Career- and College-Readiness standards. The next-generation intervention is referred to as "Super Solvers."…

In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12-14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing…