scholarly journals Using Cases as a Means to Discuss Errors in Mathematics Teacher Education

2021 ◽  
Vol 11 (10) ◽  
pp. 575
Author(s):  
Ruthi Barkai

Errors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic solution containing mathematical errors, which was presented in a dialogue by a pair of students. While all PTs reached the final, correct solution, eight provided only one of the two results in one step of the solution. Almost all (23) PTs identified at least one of the students’ errors. The case raised issues regarding the steps that should be written in a solution and the role of drawings in mathematical problems. This article suggests that exposing PTs to authentic teaching cases provides opportunities to discuss subtle issues related to their own mathematical knowledge and to obstacles that their future students might encounter when solving such tasks.

Author(s):  
Aflich Yusnita Fitrianna ◽  
Sofie Dinia ◽  
Mayasari Mayasari ◽  
Astri Yuliani Nurhafifah

The purpose of this study is to describe students’ ability in solving mathematical representation problems evaluated from mathematical disposition.  The subjects are three students of 10th grade of public senior high school (PSHS) in Padalarang, West Java, Indonesia. They were selected from 35 students with high, medium, and low mathematical disposition ability. The results of the study showed that almost all of the students able to use visual representation to solve mathematical problems, and create mathematical models and solve problems by involving mathematical expressions. In contrast, most of students could not fulfill two indicators of the mathematical representation ability, i.e. creating the sketch of geometric patterns and making the mathematical model based on the situation and data given.


2020 ◽  
Vol 5 (2) ◽  
pp. 84-94
Author(s):  
Ade Tuti Turistiati ◽  
Baby Poernomo

This study aims at answering the questions what causes many junior high school students fall into drug abuse, and what kind of treatment  must be done so that students have self-control and are not subject to drug abuse. This study employed a phenomenological approach of a qualitative research design.  In this study a semi-structured interview is used to understand how participants experienced the phenomenon. The research revealed that the interpersonal communication has a major role in students' self-control so as not to fall into drug abuse. This study contributes significantly to educational field particularly teachers in secondary schools so that it can be used as a reference to provide counseling to parents about the importance of interpersonal communication to build students’ self-control to prevent teens from falling into drug abuse.


2020 ◽  
pp. 088626052098390
Author(s):  
Jiahui Qu ◽  
Li Lei ◽  
Xingchao Wang ◽  
Xiaochun Xie ◽  
Pengcheng Wang

Previous studies have found some risk factors of cyberbullying. However, little is known about how mother phubbing may influence adolescent cyberbullying, and the mediating and moderating mechanisms underlying this relationship. “Phubbing,” which is a portmanteau of “phone” and “subbing,” refers to snubbing other people and focus on smartphones in social interactions. This study examined whether mother phubbing, which refers to being phubbed by one’s mother, would be positively related to adolescent cyberbullying, whether perceived mother acceptance would mediate the relationship between mother phubbing and adolescent cyberbullying, and whether emotional stability would moderate the pathways between mother phubbing and adolescent cyberbullying. The sample consisted of 4,213 Chinese senior high school students (mean age 16.41 years, SD = 0.77, 53% were female). Participants completed measurements regarding mother phubbing, cyberbullying, perceived mother acceptance, and emotional stability. The results indicated that mother phubbing was positively related to cyberbullying, which was mediated by perceived mother acceptance. Further, moderated mediation analyses showed that emotional stability moderated the direct path between mother phubbing and cyberbullying and the indirect path between mother phubbing and perceived mother acceptance. This study highlighted the harmful impact of mother phubbing on adolescents by showing a positive association between mother phubbing and adolescent cyberbullying, as well as the underlying mechanisms between mother phubbing and adolescent cyberbullying.


Author(s):  
Thu Ngo ◽  
Len Unsworth ◽  
Michele Herrington

AbstractStudents’ difficulties interpreting diagrams remain a concern in science education. Research about improving diagram comprehension has included few studies of teachers’ orchestration of language and gesture in explaining diagrams—and very few in senior high schools. Research with younger students and studies of research scientists’ practice indicate the significance of the interaction of teachers’ gesture and language in explaining visualisations. The strategic deployment of such teacher-focussed authoritative explanations has been observed in facilitating progression to more complex and symbolic representations in classroom work. However, the paucity of such research in senior high school leaves open the question of how these teachers use gesture and language in managing the challenges of explaining the intricate sub-microscopic and abstract visualisations senior high school students need to negotiate. In this paper, we outline existing studies of teachers’ use of gesture and language to explain complex images in senior high school and investigate how it is managed by two biology teachers with images of different types and complexity representing the activity of certain cell components in the early phase of cell duplication. Implications are drawn for foci of further research including the role of a metalanguage describing different types of visualisations and their affordances.


AI Matters ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 4-4
Author(s):  
Iolanda Leite ◽  
Anuj Karpatne

Welcome to the first issue of this year's AI Matters Newsletter! We start with a report on upcoming SIGAI Events by Dilini Samarasinghe and Conference reports by Louise Dennis, our conference coordination officers. In our regular Education column, Duri Long, Jonathan Moon, and Brian Magerko introduce two "unplugged" activities (i.e., no technology needed) to learn about AI focussed on K-12 AI Education. We then bring you our regular Policy column, where Larry Medsker covers several topics on AI policy, including the role of Big Tech on AI Ethics and an interview with Dr. Eric Daimler who is the CEO of the MIT-spinout Conexus.com. Finally, we close with four article contributions. The first article discusses emerging applications of AI in analyzing source code and its implications to several industries. The second article discusses topics in the area of physical scene understanding that are necessary for machines to perceive, interact, and reason about the physical world. The third article presents novel practices and highlights from the Fourth Workshop on Mechanism Design for Social Good. The fourth article provides a report on the "Decoding AI" event that was conducted online by ViSER for high school students and adults sponsored by ACM SIGAI.


1976 ◽  
Vol 38 (2) ◽  
pp. 655-658 ◽  
Author(s):  
George W. Kelling ◽  
Rhea Zirkes ◽  
Deena Myerowitz

Advisers are expected to be cautious. Typical instructions in research on risky shift induce the adviser role. However, subjects may take the role of the story's hero when they can identify with the hero. It is acceptable for people to be daring when acting for themselves. This hypothesis of a switch of set predicts that subjects should consider themselves more risky than the majority of their peers, a way of expressing the value of risk, when they are similar to the story's hero. High school students rated themselves and the majority on stories dealing with situations common to their age group and on stories dealing with adult problems. Sex of hero was also manipulated. Results supported the hypothesis of a switch of set. Subjects displaced themselves more when the situation was similar to those they might face; in addition, subjects displaced themselves more when the story's hero was of their sex. No sex differences in general tendency to risky displacement were found.


2021 ◽  
pp. 082957352110347
Author(s):  
Luis Francisco Vargas-Madriz ◽  
Chiaki Konishi

Canada’s high school graduation rates are still low when compared to other members of the OECD. Previous studies have found academic involvement is associated with positive trajectories toward graduation, that social support promotes student engagement, and that school belonging could mediate this relationship. Still, little is known about the specificity of such mediation, especially in Québec. Therefore, this study examined the role of belonging as mediator of the relationship between social support and academic involvement. Participants ( N = 238) were high-school students from the Greater Montréal Area. All variables were measured by the School-Climate Questionnaire. Results from hierarchical multiple regressions indicated parental support had a direct relationship, whereas peer and teacher support had a mediated relationship by school belonging with academic involvement. Results highlight the critical role of school belonging in promoting academic involvement in relation to social support.


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