The current study examined preschoolers' (N = 801) age-related performance on one measure of verbal counting and two measures of cardinality ("how many" and "give n") aligned with the kindergarten Common Core State Standards for Mathematics (CCSSM) and included in the majority of states' early learning guidelines for…

Meaningful and enjoyable experiences are important in the education of children. In this qualitative case study, the garden program (incl. market garden shop, garden care, Kid's Kitchen, and chicken coop) in one Australian primary school was explored to determine its impact on the mathematical learning of children. Data were collected using focus…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

Self-report data have contributed to a rich understanding of learning and motivation; yet, self-report measures present challenges to researchers studying students' experiences in small-group contexts. Rather than using self-report data alone, we argue that fusing self-report and observational data can yield a broader understanding of students'…

In response to international standardized testing, many countries are examining mathematics education at virtually every level of instruction. Canada is no exception. Declines in mathematics scores in some international standardized tests have raised concerns amongst some stakeholders that a crisis may be unfolding with respect to the readiness of…

This report examines the outcomes of the Miami-Dade County Public Schools (M-DCPS) in-class Summer Programs operated in the M-DCPS. The Summer Programs, offered to provide supplemental instruction for students in need of remediation, are comprised of Literacy for Rising 3rd Grade Students, Algebra I End-of-Course (EOC) remediation, and Course…

Teachers' mathematical content knowledge has been under scrutiny for some time. This development is in the wake of learners' unsatisfactory performance in national examinations and international achievement tests. A widely held belief is that one, if not the most important, of the efforts to improve and enhance the performance and…

This report examines the outcomes of the Summer Programs, a two-pronged initiative developed by the Superintendent to provide supplemental instruction for students in need of remediation and access to selected digital application for practice outside the regular school context. The Summer Programs are comprised of seven in-class components and one…

The manual gestures that hearing children produce when explaining their answers to math problems predict whether they will profit from instruction in those problems. We ask here whether gesture plays a similar role in deaf children, whose primary communication system is in the manual modality. Forty ASL-signing deaf children explained their…

Online courses are increasingly seen as a viable way to expand the number and types of courses offered and broadening access to key courses, particularly in small and rural schools. Algebra I in middle school exemplifies an important course that educators and policymakers want to be more available to students. To study the effectiveness of using…

A growing number of single-gender and after-school programs for youth continue to gain popularity within schools despite little empirical research regarding how these programs should be designed to achieve maximum success. The present study examined the effectiveness of a comprehensive middle school male academy program in terms of student…

Responding to students' questions is a critical part of teaching mathematics. A particular response may either stifle a student's inquiry or, ideally, stimulate his or her interest in mathematics. Although formulating responses that have the potential to engage students in developing new mathematical insights is challenging, the authors believe…

The gestures children spontaneously produce when explaining a task predict whether they will subsequently learn that task. Why? Gesture might simply reflect a child's readiness to learn a particular task. Alternatively, gesture might itself play a role in learning the task. To investigate these alternatives, we experimentally manipulated…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…