Introducing Algebraic Structures through Solving Equations: Vertical Content Knowledge for K-12 Mathematics Teachers

PRIMUS ◽  
2014 ◽  
Vol 24 (3) ◽  
pp. 191-214 ◽  
Author(s):  
Nicholas H. Wasserman
Author(s):  
Veronika Fitri Rianasari ◽  
Beni Utomo ◽  
Marcellynis Andy Rudhito

AbstractThe purpose of this research is to analyze the competence of teachers as part of the teachers’ pedagogical content knowledge in applying scientific approach in Mathematics PLPG (in-service teacher education and professional training) program rayon 138 Yogyakarta, Indonesia, in 2014. The research method used is descriptive with quantitative approach. The subjects of the study consisted of 23 mathematics teachers including mathematics teachers of junior high school, high school and vocational school from Kebumen, Purworejo, and Magelang. Data was collected by filling in a questionnaire at the beginning and end of the training, observing microteaching activities, and documenting the learning material arranged by PLPG participants. Based on the analysis, it can be concluded that PLPG especially PLPG rayon 138 Yogyakarta, Indonesia, in 2014 gives benefits for the development of teachers’ PCK, especially in terms of teachers’ competence in applying scientific approach. Based on the analysis of learning materials arranged by the teachers and analysis of learning videos, it is known that the majority of the teachers have been able to construct a learning material using scientific approach and implement it properly.  Keywords: teacher’s competence, pedagogical content knowledge, scientific approach, PLPG


Mathematics ◽  
2022 ◽  
Vol 10 (1) ◽  
pp. 137
Author(s):  
Rooselyna Ekawati ◽  
Masriyah ◽  
Abdul Haris Rosyidi ◽  
Budi Priyo Prawoto ◽  
Rully Charitas Indra Prahmana ◽  
...  

Space and shape is one of the geometry topics that should be mastered by students and require proper teachers’ Mathematics Content Knowledge (MCK) for teaching to avoid misconception. This study aimed at developing a constructive conceptual framework as an instrument to examine mathematics pre-service teachers’ MCK on space and shape contents and describing their profile on this topic. The present study used mixed methods, in which the obtained data were analyzed both quantitatively using Exploratory Factor Analysis (EFA) and qualitatively described in nature. The developed MCK instrument was administered to 21 senior Indonesian mathematics pre-service teachers who were in their third year of study which and by a purposive sampling technique. The results showed that the instrument had very good 10 final items with a consistent reliability coefficient of 0.67 and resulted in four factor components, namely, figural representation, area and circumference of object, relationship between properties of objects, and figural reasoning. Of the four factors, figural representation and reasoning factors had mostly been the challenges for Indonesian mathematics pre-service teachers. On the contrary, they performed better in the area and circumference of objects and the relationships between properties of objects. The findings lead to redesigning the curriculum for mathematics pre-service teachers’ learning to accommodate all their challenges.


Author(s):  
Tracy Goodson-Espy ◽  
Lisa Poling

This chapter examines the literature on the use of Interactive Whiteboards (IWBs) in secondary mathematics instruction and notes barriers and achievements. The chapter links the use of IWBs to models for teaching Technological Pedagogical Content Knowledge (TPACK). Specifically, it proposes ways in which pre-service secondary mathematics teachers can be prepared to use IWBs to help their students develop understanding of critical mathematics ideas while engaging with worthwhile mathematical tasks and engaging in meaningful discourse.


Technological pedagogical content knowledge (TPACK) is a dynamic theoretical description of teachers' knowledge for designing, implementing, and evaluating curriculum and instruction with digital technologies. TPACK portrays the complex interaction among content knowledge, pedagogical knowledge, and technological knowledge for guiding all teachers (K-12 and higher education faculty) in the strategic thinking of when, where, and how to direct students' learning with technologies. Teacher educators' and educational researchers' acceptance of the TPACK construct mirrors the acceptance of its parent construct of pedagogical content knowledge (PCK). The importance of teachers' continued practice in integrating technologies is essential for extending and enhancing their TPACK. Connections with the knowledge-of-practice construct suggest calling TPACK TPACK-of-practice to more accurately describe the process of the knowledge development efforts for guiding inservice and preservice teachers in gaining, developing, and transforming their knowledge for teaching as new and more powerful technologies emerge for integration in education. Ultimately, the very nature of the TPACK construct describes a transformation of teachers' knowledge for teaching in the 21st century – a century reframed by robust and advanced technologies that have been integrated into the fabric of a more complex social, cultural, and educational environment.


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