International Journal of Science and Mathematics Education最新文献

Abstract

Fostering students’ mathematical creativity is important for their understanding and success in mathematics courses as well as their persistence in STEM, but it necessitates intentional instructional actions, such as designing and implementing tasks that have the potential to foster creativity. As teaching innovation requires support for instructors who implement them, we developed a creativity-fostering task design framework that can be used by instructors of undergraduate mathematics courses. In this paper, we share this framework and its research-based development process. The framework includes research-based task features and aligns with the Creativity-in-Progress Reflection (CPR) on problem-solving, a formative assessment instrument. We share two creativity-fostering task samples for Calculus 1 courses as we notice that this course could be enhanced with such tasks. We also discuss ways in which Calculus 1 instructors utilized task features and framework as they designed their own tasks. We observed that the multiple answers and open-ended features of creativity-fostering tasks were frequently incorporated in instructors’ tasks; meanwhile, the framework provided opportunities for instructors to be intentional about creating tasks that incorporate mathematical actions such as making connections and taking risks.

Learning science requires students to conceptualize complex scientific concepts, discover scientific facts, and share ideas with others. In this process, scientific vocabulary and language of science help students develop their understanding of science. Given the interlink between language and conceptual development, the current study aimed to improve seventh-grade students’ scientific vocabulary and communicative interactions using teaching materials designed for the “cell and divisions” subject. Through an embedded mixed research design, the study was conducted with 31 (21 girls, 10 boys) students (aged 13–14 years) drawn from a middle school in the city of Trabzon, Türkiye. A scientific vocabulary test, observation form, and video recordings were used to collect data. The findings showed significant improvements in students’ scientific vocabulary and communicative interactions. Future studies should examine the effect of students’ scientific vocabulary on communicative development.

This study aims to investigate the effect of the online flipped learning model (OFLM) when integrated into a mathematics course in an emergency remote teaching process on seventh grade students’ academic achievement, their attitudes towards their mathematics course, and their cognitive load. The study was designed as a crossover experimental research model and conducted in two stages. In the first stage, 26 girls constituted the experimental group and 22 boys constituted the control group. In the second stage, the experimental and control groups were switched. In both stages, an academic achievement test was administered to the groups before and after implementation, an attitude test towards the mathematics course was applied to the experimental group before and after each stage, and a cognitive load test was administered to the groups after the live online classes each week. Also, the students’ views about OFLM were obtained through qualitative methods. The findings indicate that there is a significant difference between the academic achievement of the experimental and control groups in favour of the experimental group in the first stage. However, in the second stage, no significant difference was found between the groups. Students had a more positive attitude towards the mathematics course when the flipped learning model was used. There was a significant difference in favour of the experimental groups in the cognitive load of the experimental and control groups in both stages except for the first week. This study provides evidence that OFLM contributed positively to the mathematics learning of secondary school students in distance education.

We review analytic frameworks related to the study of noticing in mathematics and science education for the purpose of suggesting trends in research literature across both disciplines over time. We focus on highly cited articles in both mathematics and science noticing research, along with recent articles in both disciplines. We focus specifically on research articles that include an analytic framework, to understand the state of how data on noticing are analyzed. We conducted an extensive review of literature, intentionally related to population, temporality, methodology, and quality. The purpose was to provide an overview of the field of noticing, based on particular search criteria for articles including an analytic framework. To be considered an analytic framework, the article had to include a framework that could be used to analyze teacher noticing. We found frameworks in science education are frequently adapted from mathematics education and are moving toward pairing noticing with aspects of effective instruction (formative assessment, sense-making, pedagogical content knowledge), whereas the frameworks in mathematics education now consider context and equity, which was not an explicit focus in the initial noticing literature.

This systematic review investigated the literature between 1990—2021 to identify trends regarding science, technology, engineering, and math (STEM) scientists conducting K-12 outreach. The review identified 50 publications that reflected the scholarship on scientist-led K-12 outreach. This includes literature on the effective strategies regarding scientists’ outreach efforts and how scientist-teacher partnerships could be improved for more meaningful and impactful K-12 outreach. In addition to best practice recommendations, this review revealed patterns in outreach participants and barriers to effective scientist-teacher partnerships. The results of this study suggest that there is a need for more rigorous and published scholarship on scientist-led K-12 outreach so that scientists and K-12 stakeholders can better understand the best practices and barriers related to outreach. Additionally, the review calls for better integration of the perspectives of educators into educational outreach activities from the onset of outreach. These strategies may lead to more valuable scientist-led K-12 outreach programs that more effectively broaden participation in STEM, a major goal of broader impact activities.

Abstract

Recognizing patterns is an essential skill in early mathematics education. However, first graders often have difficulties with tasks such as extending patterns of the form ABCABC. Studies show that this pattern-recognition ability is a good predictor of later pre-algebraic skills and mathematical achievement in general, or the development of mathematical difficulties on the other hand. To be able to foster children’s pattern-recognition ability, it is crucial to investigate and understand their pattern-recognition processes early on. However, only a few studies have investigated the processes used to recognize patterns and how these processes are adapted to different patterns. These studies used external observations or relied on children’s self-reports, yet young students often lack the ability to properly report their strategies. This paper presents the results of an empirical study using eye-tracking technology to investigate the pattern-recognition processes of 22 first-grade students. In particular, we investigated students with and without the risk of developing mathematical difficulties. The analyses of the students’ eye movements reveal that the students used four different processes to recognize patterns—a finding that refines knowledge about pattern-recognition processes from previous research. In addition, we found that for patterns with different units of repeat (i.e. ABABAB versus ABCABCABC), the pattern-recognition processes used differed significantly for students at risk of developing mathematical difficulties but not for students without such risk. Our study contributes to a better understanding of the pattern-recognition processes of first-grade students, laying the foundation for enhanced, targeted support, especially for students at risk of developing mathematical difficulties.