Recommendations for achieving generalized instructional outcomes often overlook the capacity for generative learning for most verbally competent humans. Four children (ages 5-8) participated in this project. In Study 1, we provided decontextualized discrete trial teaching to establish arbitrary relations between colors, pictures of characters, and…

GeoGebra is a dynamic software that is frequently used and of increasing importance in mathematics teaching processes in our digital age. Accordingly, in this study a new perspective has been brought to the proofs of the "two square difference identity" expressed for the square, which is a flat polygon, made with different approaches.…

Teaching an infant manual signs is beneficial as it promotes early communication, improves socialization, and can functionally replace behaviors such as crying and whining. Improving early communication also may reduce the probability of an infant engaging in dangerous behavior, like unsafe climbing. The purpose of this study was to extend…

Recent research has highlighted the role of functional relationships in introducing elementary school students to algebraic thinking. This functional approach is here considered to study essential components of algebraic thinking such as generalization and its representation, as well as the strategies used by students and their connection with…

Selecting and remembering the necessary information from rapidly increasing information requires summarization skills. Research on improving students' summarization skills has focused on deletion, generalization, and reconstruction strategies. However, direct teaching of these strategies does not yield successful results. For this reason,…

Quadratics provide a foundational context for making sense of many important algebraic concepts, such as variables and parameters, nonlinear rates of change, and views of function. Yet researchers have highlighted students' difficulties in connecting such concepts. This in-depth qualitative study with two pairs of Year 10 (15 or 16-year-old)…

This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with…

Further research is needed on strategies to improve employment outcomes for individuals with autism spectrum disorder (ASD). We replicated and extended prior research by examining the acquisition, maintenance, and generalization of discrete-trial training (DTT) performance of adults with ASD who were interested in careers as behavior technicians.…

The aim of this study was to investigate the effectiveness of teaching with graduated guidance on teaching the playing backgammon skill, which is one of the leisure skills, to children with "Autism Spectrum Disorder (ASD)". Three children with ASD participated in this research. A multiple probe design across the participants was used in…

According to an aptitude-treatment interaction experiment (Lehmann et al., "Metacognition and Learning, 11," 89-105, 2016, N = 47, published in "Metacognition and Learning"), perceptually disfluent texts facilitated retention and comprehension performance (but not transfer performance) only for learners with higher working…

This study presents the preliminary qualitative results of a larger mixed methods study. The qualitative phase utilized task-based clinical interviews to examine the non-symbolic and symbolic linear generalizations of middle-grades students. This investigation identified similarities and differences in the students' generalizations, and…

Previous research has investigated generalized intraverbal-tacting by teaching children with autism to respond using autoclitic frames. The present study compared the effectiveness and efficiency of a Frame and a No Frame procedure across counterbalanced stimulus sets with 4 children with autism. In the Frame condition, children were taught to…

Second language implicit learning research has shown that a variety of linguistic features can be acquired without awareness. However, this research overwhelmingly uses comprehension tests to measure implicit learning. It remains unclear whether newly acquired implicit knowledge can also be recruited for production. To address this question, we…

We conducted a descriptive exploratory study in which we analyzed 313 sixth to eighth grade students' answers to a word problem, accompanied by diagrams, involving generalization in an algebraic functional context. In this research, we jointly addressed two objectives: (a) to determine the strategies deployed by students to generalize and (b) to…

It is known that teacher noticing skills improve through different interventions such as video clubs, lesson study, and short-term professional development programs. However, it is not known whether this improvement is permanent and whether teachers can transfer their noticing skills into the classroom. It is extremely important to provide an…