Humanizing Defining in Mathematics with Sandwiches

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This paper discusses multiple versions of an activity in which participants create, discuss, and analyze possible definitions of the term “sandwich.” This activity has helped us humanize mathematical practices in a low-stakes context, build community in mathematical spaces, model and reflect on effective collaboration for active learning, and peer under the hood of mathematics disciplinary practices around constructing definitions and examples. We have used this activity virtually, both synchronously and asynchronously, and face-to-face, with a wide range of participants, including for secondary, major and non-major undergraduate, and graduate mathematics students and for teaching professional development. This paper will discuss motivation, various implementations, and some outcomes of the activity.

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STUDENTS’ INTERACTION IN SOCIAL COLLABORATIVE PROBLEM-BASED LEARNING ENVIRONMENT TO PROMOTE STUDENTS' COGNITIVE PERFORMANCE
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Today, the rapid growth of technology affects many sectors, including education sector. Online learning has been increase in the last two decades. This allows students to study anytime, anywhere, as long as they have computers and Internet connection. Vygotsky states that, it is possible to maximize the learning process through social interaction with others. Many researchers have adapted Vygotsky's social learning approach to online learning environments. In social learning environment, interaction plays an important role in measuring student learning processes. Collaborative learning strategy is also able to improve interaction and learning performance in many studies. Research has shown that there are many benefits associated with collaborative learning. During the collaborative learning process, students are discussing, sharing and participating in active learning to improve their knowledge. However, previous studies also found that collaborative learning approach has its own challenges, for example, it can lead to inequalities division of tasks among group members and only certain students dominating the group discussion. Thus, there are many strategies for designing a learning environment for effective collaboration. Problem-based learning (PBL) strategy is believed can develop students' cognitive thinking, problem-solving skills and teamwork skills by encouraging them to become independent students and to work in small groups to find solutions. PBL strategy also offer other learning strategies such as project-based learning, situational learning, cooperative learning and collaborative learning making more meaningful learning to be produced. In PBL strategy, problem is the starting point of learning process, which motivates students to keep investigating so they can better understand the problem as well as the solution while the teachers or lecturers will participate only as facilitators in the classroom. Therefore, this study is carried out to investigate the effects of social collaborative problem-based learning (SCPBL) environment towards students’ cognitive performance and to analyze the types of interaction patterns in SCPBL environment that promotes student’s cognitive performance.A total of 34 students which consist of 20 students for treatment group and 14 students for control group took part in the study. They are given pre-performance test and post performance test to monitor their cognitive performance. However, only treatment group has to work in a small collaborative group and discussing with each other to solve the three problem based-learning tasks after pre-performance test session. Meanwhile, for control group, they need to solve three non problem-based learning tasks individually. Edmodo become the platform for SCPBL environment. The collected data were analysed using descriptive and inferential statistics for pre and post performance tests, meanwhile, the students’ discussion script are analysed by using Gunawardena, Lowe and Anderson (1997) Interaction Analysis coding scheme, then further with social network analysis for interaction pattern. Findings in this study showed that treatment group performed better than control group in cognitive performance. For interaction features, students are applying sharing and comparing information the most during discussion while solving the three tasks. This finding suggests that interaction in SCPBL environment can promote students’ cognitive performance.

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  • 10.1080/00131881.2023.2256747
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  • Sep 24, 2023
  • Educational Research
  • Chan Chang-Tik

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  • Research Article
  • Cite Count Icon 5
  • 10.1177/21582440221094592
Elevating Teachers’ Professional Capital: Effects of Teachers’ Engagement in Professional Learning and Job Satisfaction, Awi District, Ethiopia
  • Apr 1, 2022
  • Sage Open
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This study examined the contribution of teachers’ engagement in collaborative professional learning, engagement in individualized professional learning, and job satisfaction to their professional capital development using structural equation modeling. The study tested three hypotheses: teachers’ level of engagement in collaborative professional learning and development activities has a significant contribution to their professional capital development, teachers’ level of engagement in individualized professional learning and development activities would have a significant contribution to their professional capital development and teachers’ job satisfaction has a significant effect on their professional capital development. The sample consisted of 379 teachers randomly selected from Awi district primary schools, Ethiopia. Data were collected using 25 items. Cronbach’s alpha (α) coefficients for internal consistency ranged from .806 to .919. Composite reliability, convergent validity, and discriminant validity of latent variables were established using CFA. The measurement model and structural model showed a good fit based on established criteria. Findings showed a significant effect of teachers’ engagement in collaborative learning, engagement in individualized learning, and job satisfaction on their professional capital development. These independent variables accounted for 68.3% variance in professional capital development, thereby indicating 31.7% unexplained variance. In conclusion, the study highlighted the importance of teacher-level factors to boost professional capital in the teaching profession.

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One area of technical and vocational education and training (TVET) that has been increasing in importance has been work-related learning that is grounded in practice at the workplace. Within that area, two significant strands can be identified: collaborative learning and technology-enhanced learning. This chapter will provide examples of substantive collaborative work-related learning and continuing professional development and examine how some forms of technology-enhanced learning, particularly in relation to the development and use of social software, are further enriching collaborative work-related learning and development. The first example of collaborative work-related learning is drawn from the experience of inter-organizational learning in manufacturing supply-chain networks. The second example is of a guidance network that illustrates the use of social software to support the development of a ‘community of interest’ of careers guidance practitioners, policy-makers and researchers.

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