Drawing on a larger, cross-institutional study that examines equitable elementary mathematics education, this article reports initial findings related to tensions that emerged for preservice teachers (PSTs) related to trusting students with open-ended, challenging mathematics tasks. Data composed of 194 PSTs' written responses to a survey…

The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students' abilities to problem pose. The students' problem posing improved across the three Three-Act Tasks and…

This article discusses algebraic thinking regarding positive integers and rational numbers when students, 6 to 9 years old in multilingual classrooms, are engaged in an algebraic learning activity proposed by the El'konin and Davydov curriculum. The main results of this study indicate that young, newly arrived students, through tool-mediated joint…

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. "Figuring Out Fluency in Mathematics Teaching and Learning" offers educators the inspiration to develop a deeper understanding of procedural fluency, along with…

In this qualitative study, the researchers investigated the types of K-6th grade lessons 16 preservice elementary teachers created based on mathematics-themed children's books. Lessons were analyzed using Stein et al.'s (2017) Task Analysis Guide (TAG), as well as grouped based on grade level and covered Common Core State Standards Mathematical…

Background: As one of the mainstream forms of programming education, educational robotics (ER) have been a crucial way to develop K-12 students' programming ability. Objectives: The purpose of this study is to clarify the content of programming ability, to verify the effectiveness of ER as a teaching method to improve students' programming…

For years, educators have been using "foldables" as a visual and/or kinesthetic approach to note taking within elementary school classrooms. The purpose of the study is to determine to what extent these foldables have on students' self-efficacy of grade level math concepts. We previously found that there were learning gaps in students'…

The majority of children in mainstream (no fee, poorly resourced, African language dominant) public schools in South Africa fall significantly behind curricular norms in mathematics by Grade 3; the early learning gap grows across time. The provision of "quality" instructional materials is a well-recognised component of effective…

Educational apps can help children develop their early numeracy skills, but only if they incorporate certain pedagogical features. AppLINOU is an early numeracy app that was co-designed by a multidisciplinary team to be compatible with the way numeracy is taught in France's preschools. This study of whether incorporating AppLINOU into classroom…

Background: South African learners face the double disadvantage of living in low socioeconomic conditions with access to few resources and attending schools with challenging learning conditions. Mathematics performance reflects such conditions with extreme performance gaps between wealthier and poorer learners. The need for early intervention is…

Derek Hurrell shares a number of geometry tasks designed to tease out students' reasoning. Concrete materials are used to initiate discussions and develop a culture of reasoning in the mathematics classroom.

Understanding exponential growth is a fundamental aspect of developing critical numeracy skills; however, typically, exponential growth is introduced in curricular documents to secondary students. Moreover, such introductions tend to be in the context of formal mathematical modeling, divorced from a sense of quantity. The authors argue that, given…

Activities, which are defined as activities that support students' mathematical learning and increase their levels of mathematic learning, enable the individual to be active by mentally and physically engaging in an action, to establish a cause-effect relationship, and to satisfy his/her curiosity. In this respect, activities have an important…

We investigated the adequacy of the conduct and possible benefits of the use of dynamic maths interviews by 19 fourth grade teachers with students showing low maths achievement to facilitate the identification of maths needs. This study shows the potential of an analytical framework to evaluate the adequacy and benefits of dynamic maths interviews…

Even in math class, English learners can work on their oral language development. The math tasks described here, designed for K-3, illustrate how.