scholarly journals The Enactment of Mathematics Content Knowledge and Mathematics Pedagogical Content Knowledge in Teaching Practice of Ratio and Proportion: A Case of Two Primary

2018 ◽  
Vol 288 ◽  
pp. 012122
Author(s):  
R Ekawati ◽  
F Lin ◽  
K Yang
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Teaching Practice ◽  
Pedagogical Content ◽  
Mathematics Content Knowledge ◽  
Ratio And Proportion ◽  
Mathematics Pedagogical Content Knowledge ◽  
And Mathematics

scholarly journals Predictive Validity of Entry Level Mathematical on Mathematical Knowledge of Pre-service Teachers for Teaching Basic School mathematics in Ghana

2020 ◽  
Vol 7 (2) ◽  
pp. 17-26
Author(s):  
Millicent Narh Kert
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Mathematical Knowledge ◽  
Scale Up ◽  
Mathematical Knowledge For Teaching ◽  
Colleges Of Education ◽  
Pedagogical Content ◽  
Mathematics Content Knowledge ◽  
Entry Level ◽  
Mathematics Pedagogical Content Knowledge

Introduction: Knowledge about teaching mathematics remains a contentious issue in the preparation of pre-service teachers in Ghana. This study explored relationships among entry-level mathematical knowledge (ELMK), mathematics content knowledge (MCK) and mathematics pedagogical content knowledge (MPCK) scores of pre-service teachers in colleges of education (CoEs) in Ghana. Methods: The cross-sectional survey design was adopted for this study. A total of 998 pre-service teachers from ten (10) public colleges of education were sampled via multi-stage sampling technique. Structured questionnaire and unstructured observation schedule were used for the survey. College mathematics test results were used as secondary data. The data were analysed using descriptive statistics (frequency count, percentage) and inferential statistics (Pearson’s correlation, paired-samples t-test and regression analysis) with the aid of Statistical Package for Social Sciences software version 22. Results: The majority of pre-service teachers in Ghanaian colleges of education had average but relatively weak grades in ELMCK. ELMCK did not significantly predict pre-service teachers’ MCK statistically (p ≥ 0.05) although a statistically significant positive correlation existed between the variables. Although a negative correlation existed between ELMCK and PMCK, ELMCK significantly predicted pre-service teachers’ PMCK statistically (p ≤ 0.05) but the effect size was statistically negligible. Conclusions: This study concluded that, CoEs in Ghana admit pre-service teachers with average but weak grades in ELMK. Therefore, Ghanaian CoEs should structure and introduce PMCK alongside MCK for pre-service teachers. Mathematics tutors in CoEs should organize remedial lessons for pre-service teachers to scale-up their MCK and PMCK that adequately equip them with MKT. Keywords: Entry-level mathematical knowledge (ELMK), mathematics content knowledge (MCK), mathematics pedagogical content knowledge (MPCK), mathematical knowledge for teaching (MKT), pre-service teachers.

scholarly journals EXAMINING PROSPECTIVE TEACHERS’ BELIEF AND PEDAGOGICAL CONTENT KNOWLEDGE TOWARDS TEACHING PRACTICE IN MATHEMATICS CLASS: A CASE STUDY

2019 ◽  
Vol 10 (2) ◽  
pp. 185-202 ◽  
Author(s):  
Muhtarom Muhtarom ◽  
Dwi Juniati ◽  
Tatag Yuli Eko Siswono
Keyword(s):  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Prospective Teachers ◽  
Teaching Practice ◽  
Mathematics Classroom ◽  
Pedagogical Content ◽  
Good Communication ◽  
Good Communication Skill ◽  
Two Factors ◽  
The Relationship

Beliefs and pedagogical content knowledge (PCK) are two factors influencing teaching practice in the classroom. This research aims to describe the beliefs and PCK of the prospective mathematics teachers and the relationship between the two factors on the teaching practices in the mathematics classroom. Participant in this research includes a prospective teacher who has taken a micro teaching subject and has good communication skill. Data were collected through interview and video analysis on the teaching practice in the classroom. The data obtained were coded, simplified, presented, and triangulated for the credibility and concluded. The result of the research shows that the prospective teachers who hold a constructivist belief view mathematics as a dynamic knowledge which evolves and is regarded as the space of creation for humans. Their beliefs on the nature of mathematics support the belief in the teaching-learning process in mathematics classrooms. Furthermore, a good understanding of the prospective teachers have on the components of the PCK has been sufficient, which can be identified in every step of practical activities in the classroom. More elaboration on the relationship between the belief and PCK is presented in this research.

scholarly journals Teachers’ pedagogical content knowledge in teaching word problem solving strategies

ZDM ◽  
2019 ◽  
Vol 52 (1) ◽  
pp. 165-178 ◽  
Author(s):  
Csaba Csíkos ◽  
Judit Szitányi
Keyword(s):  
Problem Solving ◽  
Pedagogical Content Knowledge ◽  
Content Knowledge ◽  
Word Problem ◽  
Word Problems ◽  
Teaching Practice ◽  
Word Problem Solving ◽  
Pedagogical Content ◽  
Explicit Teaching ◽  
Problem Solving Strategies

AbstractThis research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers’ pedagogical content knowledge concerning the teaching of word problem solving strategies. By means of a standardized interview protocol, participants (N = 30) were asked about their judgement on the difficulty of teaching word problems, the factors they find difficult, and their current teaching practice. Furthermore, based on a comparative analysis of Eastern European textbooks, we tested how teachers’ current beliefs and views relate to the word problem solving algorithm described in elementary textbooks. The results suggest that in the teachers’ opinion, explicit teaching of a step-by-step algorithm is feasible and desirable as early as in the 1st school grade. According to our results, two approaches (namely, paradigmatic- and narrative-oriented) concerning how to teach the process of word problems solving, originally revealed by Chapman, were found. Furthermore, teachers in general agreed with the approach taken in the textbooks on the subject of what kinds of word problems should be used, and that explicit teaching of word problem solving strategies should be introduced by using simple, routine word problems as examples.

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