scholarly journals Pre-service mathematics teachers’ professional modeling competencies: a comparative study between Germany, Mainland China, and Hong Kong

2021 ◽  
Author(s):  
Xinrong Yang ◽  
Björn Schwarz ◽  
Issic K. C. Leung
Keyword(s):  
Mathematical Modeling ◽  
Teacher Education ◽  
Hong Kong ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Mainland China ◽  
Cultural Traditions ◽  
Pedagogical Content ◽  
Teaching Culture ◽  
History Of

AbstractAlthough mathematical modeling plays an important role in many curricula worldwide, significant discrepancies persist in the importance of mathematical modeling in ordinary mathematics classrooms and teacher education. This paper compares pre-service mathematics teachers’ professional mathematical modeling competencies in three different regions—Germany, Mainland China, and Hong Kong—where educational and cultural traditions differ, including the role of mathematical modeling. In total, 232 pre-service mathematics teachers from the three regions completed a modeling task covering mathematics content knowledge (MCK) of modeling and mathematical pedagogical content knowledge (MPCK) of modeling. The results show that pre-service teachers from Germany demonstrated the strongest MCK and MPCK of mathematical modeling; by contrast, pre-service mathematics teachers from Mainland China and Hong Kong demonstrated relatively weaker MCK and MPCK of mathematical modeling. MCK and MPCK of mathematical modeling were also found to be unevenly developed at different competence levels for the three regions. These differences may be attributed to the history of mathematical modeling in mathematics curricula, teacher education, and teaching culture in these three regions.

Engaging Preservice Secondary Mathematics Teachers in Authentic Mathematical Modeling: Deriving Ampere's Law

2019 ◽  
Vol 8 (1) ◽  
pp. 76-91
Author(s):  
Kimberly Corum ◽  
Joe Garofalo
Keyword(s):  
Mathematical Modeling ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Secondary Mathematics ◽  
Thinking Skills ◽  
Future Teachers ◽  
Mathematics Pedagogy ◽  
Pedagogical Content ◽  
Preservice Mathematics Teachers ◽  
The Magnetic Field

Incorporating modeling activities into classroom instruction requires flexibility with pedagogical content knowledge and the ability to understand and interpret students' thinking, skills that teachers often develop through experience. One way to support preservice mathematics teachers' (PSMTs) proficiency with mathematical modeling is by incorporating modeling tasks into mathematics pedagogy courses, allowing PSMTs to engage with mathematical modeling as students and as future teachers. Eight PSMTs participated in a model-eliciting activity (MEA) in which they were asked to develop a model that describes the strength of the magnetic field generated by a solenoid. By engaging in mathematical modeling as students, these PSMTs became aware of their own proficiency with and understanding of mathematical modeling. By engaging in mathematical modeling as future teachers, these PSMTs were able to articulate the importance of incorporating MEAs into their own instruction.

scholarly journals Analisis Kompetensi Guru Sebagai Bagian Dari Pedagogical Content Knowledge Guru Dalam Menerapkan Pendekatan Saintifik Dalam Program PLPG

2020 ◽  
Vol 3 (1) ◽  
pp. 1-14
Author(s):  
Veronika Fitri Rianasari ◽  
Beni Utomo ◽  
Marcellynis Andy Rudhito
Keyword(s):  
High School ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Junior High School ◽  
Research Method ◽  
Professional Training ◽  
Learning Material ◽  
Pedagogical Content ◽  
Scientific Approach

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

scholarly journals Content Analysis of the Pedagogical Content Knowledge in the Curriculum of Yemeni EFL Teacher Education Programme

2017 ◽  
Author(s):  
Arab World English Journal ◽  
Morshed Salim Abdullah Al-Jaro ◽  
Adelina Asmawi ◽  
Zuwati Hasim
Keyword(s):  
Teacher Education ◽  
Pedagogical Content Knowledge ◽  
Student Teachers ◽  
Content Knowledge ◽  
Teaching Practices ◽  
Teaching Experience ◽  
Education Programme ◽  
Basic Knowledge ◽  
Pedagogical Content ◽  
Teacher Education Programme

This study aims to analyse the pedagogical content knowledge (PCK) in the current curriculum of the English teacher education programme (ETEP) at a Faculty of Education in a Yemeni University. PCK and teaching competencies take shape within the initial preparation of ETEP in which student teachers spenda long time receiving knowledge and understanding the teaching context before they practically experience teaching at schools. During their BA study, students are required to study 49 courses which can be categorised into four main components: skills, linguistics, literature and professional. This study analyses the content of the curriculum courses so as tovisualise the way student teachers translate what they have learned into pedagogical practices during their teaching practices. In this study, the curriculum content of ETEP is qualitatively analysed using the inductive approach. Categories emerged from the analysis demonstrate various aspects of student teachers’ PCK. The analysis reveals that the pedagogical skills courses are not enough to enhance and strengthen the student teachers’ PCK needed to be reflected in their teaching practices. The findings show that the curriculum lacks courses necessary to provide student teachers with basic knowledge and pedagogical principles which are of vital significance to demonstrate their understanding before they are practically engaged in the teaching experience.

scholarly journals Modeling Active Engagement Pedagogy through Classroom Response Systems in a Physics Teacher Education Course

2013 ◽  
Vol 1 (5) ◽  
pp. 523-542 ◽  
Author(s):  
Marina Milner-Bolotin ◽  
Heather Fisher ◽  
Alexandra MacDonald
Keyword(s):  
Teacher Education ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Methods Course ◽  
Active Engagement ◽  
Future Teachers ◽  
Pedagogical Content ◽  
Classroom Response Systems ◽  
Response Systems ◽  
The Impact

One of the most commonly explored technologies in Science, Technology, Engineering, and Mathematics (STEM) education is Classroom Response Systems (clickers). Clickers help instructors generate in-class discussion by soliciting student responses to multiple-choice conceptual questions and sharing the distribution of these responses with the class. The potential benefits of clicker-enhanced pedagogy include: increased student engagement, reduced anxiety, continuous formative assessment, and enhanced conceptual understanding. Most studies, however, investigate the effects of clicker-enhanced instruction in large undergraduate STEM courses. The impact of this pedagogy on learning in small secondary or post-secondary classrooms is still relatively unexplored. The context of this study is a secondary physics methods course in a Teacher Education Program at a large Canadian university. One of the course assignments required future teachers to develop multiple-choice conceptual questions relevant to the secondary physics curriculum. This study investigates the impact of modeling clicker-enhanced active engagement pedagogy on future teachers’ Content Knowledge, Pedagogical Knowledge, and Pedagogical Content Knowledge, as revealed by this assignment. The results of the study indicate that: (1) modeling clicker-enhanced pedagogy in a physics methods course increases future teachers’ interest in active learning; (2) clicker-enhanced pedagogy is a powerful vehicle for developing Pedagogical Content Knowledge of future physics teachers; (3) clicker-enhanced pedagogy is a useful tool for teacher educators for identifying and addressing the gaps in the Content Knowledge of future teachers. This study sheds light on developing future teachers’ capacities to design and implement instruction that is driven by conceptual questions in the presence or absence of technology and the impact of this process on their Pedagogical Content Knowledge and attitudes about conceptual STEM learning.

Juggling Our Mindsets: Learning from Success as a Complementary Instructional Framework in Teacher Education

2014 ◽  
Vol 116 (2) ◽  
pp. 1-48 ◽  
Author(s):  
Chen Schechter ◽  
Tova Michalsky
Keyword(s):  
Teacher Education ◽  
Preservice Teachers ◽  
Pedagogical Content Knowledge ◽  
Student Teachers ◽  
Content Knowledge ◽  
Repeated Measures ◽  
Practical Wisdom ◽  
Pedagogical Content ◽  
Instructional Framework ◽  
Preparatory Programs

Background Collective learning in teacher education has primarily focused on learning from problematic practices/approaches, depriving preservice teachers of learning opportunities embedded in professional successes. Purpose The goal of the present study was to explore the value of systematic learning from success as a complementary reflective framework during the practicum phase in teacher preparatory programs. Research Design We developed four distinct reflective methods to examine the effect of integrating systematic learning from problematic as well as successful experiences in preparatory programs on physics student teachers’ pedagogical content knowledge and sense of teaching efficacy. Data Collection and Analysis Participants were 124 second-year preservice physics teachers at four major research universities. One-way within-subjects analyses of variance (ANOVA) with repeated measures were conducted, with post-test performance as the dependent variable and with treatment (four reflective groups) as the independent variable. Findings Results indicated greater performance improvement on pedagogical content knowledge measures and on sense of self-efficacy measures when contemplating both problematic and successful experiences than when focusing solely on problematic experiences. Recommendations The current study may reinterpret the instructional framework of teacher education programs to include learning from successes too as a means of nurturing the practical wisdom necessary for teaching in dynamic school contexts.

Applying a Technological Pedagogical Content Knowledge Framework in Ethiopian English Language Teacher Education

2014 ◽  
pp. 286-301 ◽  
Author(s):  
Berhanu Abera
Keyword(s):  
Teacher Education ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
English Language ◽  
Technological Pedagogical Content Knowledge ◽  
Language Teachers ◽  
Language Teacher Education ◽  
Language Teacher ◽  
Pedagogical Content ◽  
Knowledge Framework

Technological Pedagogical Content Knowledge (TPACK) has emerged as a useful frame for instructional technology-enhanced education. This chapter addresses the existing literature on technological pedagogical content knowledge framework and of teacher education in Ethiopia in general and English language teacher education in particular. Data were collected through a structured questionnaire, interviews, classroom observations, and documents. The results revealed that the existing literature failed to demonstrate the application of TPACK in English language teacher education in the country. The technological pedagogical content knowledge of classroom English language teachers was also found to be low. Classroom teachers applied their pedagogical content knowledge while teaching English language through televised instruction like the conventional instruction. They were seldom observed applying their technological pedagogical content knowledge. Finally, based on the results and the conceptual framework of TPACK, implications for the Ethiopian secondary school teacher preparation programs are outlined and further studies are suggested.

Interactive Whiteboards

2015 ◽  
pp. 288-307
Author(s):  
Tracy Goodson-Espy ◽  
Lisa Poling
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematics Teachers ◽  
Secondary Mathematics ◽  
Technological Pedagogical Content Knowledge ◽  
Interactive Whiteboards ◽  
Mathematical Tasks ◽  
Pedagogical Content ◽  
Secondary Mathematics Teachers ◽  
Critical Mathematics

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.

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