This article explores some entertaining examples of mathematical thinking in working with the alphabet. They involve thinking linearly, sequentially, in order, and logically, and require problem solving--mathematical thinking. The article discusses creatively exploring the alphabet through alphabet books and creating alternative alphabet lists.

The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…

Teaching human evolution should be initialized by understanding the learners' perspective to yield fruitful results. This study was conducted to aid in achieving that objective and provide ways for educators to develop strategies that learners can perceive and appreciate, particularly those who are not inclined toward science. This study also…

It may sound strange, but in today's mathematics classroom, teachers are encouraged to have students struggle. This struggle, however, is not what might come to mind upon first hearing the word. The struggle I refer to here is what researchers have termed "productive struggle," which is present when students must persevere in solving…

The purpose of this article is to share how one teacher implemented exploratory writing within a mathematics lesson to support her third graders in making sense of fractions and communicating their mathematical ideas. The author defines exploratory writing, then describes the teacher's lesson while also presenting a general overview about how to…

Concepts can provide researchers and communities with common ground for communicating and building understandings about the world. However, researchers who engage with communities often encounter unexpected interpretations of concepts in the field. This article introduces Community Concept Drawing (CCD), a participatory visual method aimed at…

The aim of this study is to examine the cognitive structures of the secondary school students towards the concept of health. The study was carried out using the descriptive survey model, which is a research approach that intends to describe a past or present situation as it is. The study group of the research was determined by maximum diversity…

STEM learning experiences at the school level provide both opportunities and challenges for exploring students' understanding of statistical concepts. This report focuses on data handling and informal inference embedded in a STEM context, that is, of testing, adjusting, and retesting catapults. In particular, the learning goal was for Grade 4…

Due to the advent of coronavirus disease in most nations throughout the world, the manner of education altered from traditional face-to-face to remote or online teaching. As a result, the new normal necessitates the adoption of an online teaching and learning platform for all levels of education. The study tested the effectiveness of a flipped…

We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…

Algebra is a gatekeeper. For the 6% of students with dyscalculia (i.e., mathematical learning disabilities), an inability to pass algebra may significantly limit academic and career opportunities. Unfortunately, prior research on dyscalculia has focused almost exclusively on elementary-aged students' deficits in speed and accuracy in arithmetic…

Students' understanding of the concepts that underlie evolution are often less than optimal and make it difficult for them to accept the theory of evolution. The aimed of this study were to: 1) map students' knowledge of Mutation and Recombination (M and R); and 2) analyze the effect of gender on their chairperson. This survey research involving…

Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive…

The overall purpose of this study was to investigate the role of personal relevance in conceptual change. First, we used an experimental design to investigate the role of augmented activation--which directly implicated teachers' personal prior beliefs about mathematics learning and instruction--and refutational text manipulations on short and…

Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of "innumeracy" frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper…