Experimental results are presented on the collision of a superball with two different wood blocks. The results are in reasonable agreement with a simple collision model where kinetic energy is conserved, but better agreement is obtained if a small loss of kinetic energy is assumed, as observed. The physics is slightly more complicated than the…

When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of…

The aim of the present study is to determine the elementary pre-service mathematics teachers' understanding on solids. For this purpose, pre-service teachers' definitions and drawings of these objects were examined. Qualitative research method was used. A written questionnaire consisting of sixteen open-ended and multiple-choice questions was…

Background: Accreditation organizations broadened program assessment criteria in ways that present challenges for the evaluation of learning outcomes. This is especially the case in courses where there are not narrowly defined questions or definitive solutions, such as engineering ethics. While protocols for learning assessment exist, there is…

Background/Context: Over the last two decades, policymakers' standards-based accountability reforms in the United States have fundamentally changed public schooling in general and kindergarten specifically. As this has occurred, little has been learned about how the children themselves make sense of these changes in schooling.…

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…