The topic of recurrence relations has recently been introduced in many discrete mathematics textbooks. Recurrence relations are efficient modelling and problem-solving techniques used in mathematics. Combinatorial problems are often used to introduce recurrence relations. However, many textbooks consider problems that can be reduced only to the…

The goal of this study is to characterize how pre-service teachers recognize students' reasoning, based in the unitizing process, when students solve ratio comparison problems and, how they consider the unitizing process as a Key Development Understanding to propose teaching decisions. Ninety-one pre-service primary teachers interpreted primary…

Metacognition is important for both teaching and learning. Effective teachers are metacognitive about teaching, reflecting on, and making adjustments to instructional approaches to support student learning. However, relative to the literature on student metacognition about learning, there is a paucity of research on college instructor…

We evaluated whether intraverbal and reverse intraverbal behavior emerged following listener training in children with autism spectrum disorder (ASD). Six participants were each taught three sets of three "when?" questions in listener training. A multiple baseline design across behaviors (stimulus sets) was used to assess the effects of…

The introductory public speaking class includes topics such as audience analysis, credibility, organization, visual aids, and delivery. While the pedagogy I employ in this class tends to be very interactive and require a lot of group work, 2020 will forever be known as the year of the COVID19 global pandemic, which produced social distancing,…

The Smithsonian Institution's public narrative often glosses over the United States Exploring Expedition (1838-1842), the historic endeavor led by Charles Wilkes that seized over 4000 specimens, artifacts, and human remains throughout Asia, the Pacific Islands, and the western coasts of the Americas, which later became the foundation of the…

Multilevel latent class analysis (MLCA) has been increasingly used to investigate unobserved population heterogeneity while taking into account data dependency. Nonparametric MLCA has gained much popularity due to the advantage of classifying both individuals and clusters into latent classes. This study demonstrated the need to relax the…

With the increase in online course use (Allen & Seaman, 2017), there is an increasing need to determine the most effective (i.e., the most conducive for learning) way to present lectures online (e.g., video lectures). Lecture graphics that are interesting but extraneous to the content (e.g., a celebrity), have been shown to impair…

Human rights education (HRE) is an emerging practice across formal and informal educational sectors worldwide. However, most literature and theory on HRE emphasize the importance of imparting knowledge about human rights. In this paper, we argue that increasing tolerance among students is a vital but understudied aspect of HRE. This paper is based…

This paper examines to what extent paper-based data-driven learning (DDL) activities can improve Thai EFL students' vocabulary learning concerning three English synonymous adjectives, which are naughty, disobedient and rebellious, and explores the attitudes of the participants towards learning through the DDL activities. This study was a one-group…

Purpose: Adopting a multidimensional view is a characteristic of systems thinking in school leadership, which involves recognizing that each component of the school system necessarily has more than one cause, result or solution. This study explores how case-based learning has contributed to the development of adopting a multidimensional view in…

This bibliometric study aims to map the value education model research to provide direction for future research, especially in education and teaching. It is essential because value is the core of education. After all, in addition to opening the window of knowledge, education also has a role in transferring values for internalizing them in the…

Students with emotional and behavioral disorders struggle with learning and retaining many aspects of mathematics. Tasks requiring conceptual understanding and reasoning are especially challenging. Given these difficulties, it is essential that teachers use techniques designed to support mathematical learning. We explain how to infuse…

In this work, we studied the influence of different programming approaches on the development of students' computational thinking (CT) skills, the programming experience and gender differences in CT development were also discussed. A total of 158 junior high school students and one teacher participated in the study over 5 months. The sample…

It is critical that elementary students develop understanding of fractional numbers because understanding concepts such as fraction magnitude predict later mathematics success. Representing fractions in multiple ways assists students in developing a sense of fraction magnitude. A systematic approach to presenting multiple representations is the…