Cross-Curricular Teaching and Learning in the Secondary School... Mathematics

2010 ◽  
Author(s):  
Robert Ward-Penny
Keyword(s):  
Secondary School ◽  
Teaching And Learning ◽  
School Mathematics ◽  
Secondary School Mathematics

scholarly journals CAS Assisted Proofs in Upper Secondary School Mathematics Textbooks

2019 ◽  
Vol 8 (3) ◽  
pp. 232
Author(s):  
Uffe Thomas Jankvist ◽  
Morten Misfeldt
Keyword(s):  
Secondary School ◽  
Teaching And Learning ◽  
School Mathematics ◽  
Upper Secondary School ◽  
Mathematics Textbooks ◽  
Secondary School Mathematics ◽  
Proof Schemes ◽  
Mathematical Proofs ◽  
Upper Secondary ◽  
Upper Secondary Level

This article addresses the didactical effects of CAS assisted proofs in Danish upper secondary mathematics textbooks as a result of the 2005 reform that introduced CAS as a part of the upper secondary level curriculum (and examinations). Based on a reading of 33 upper secondary school mathematics textbooks, 38 instances of CAS assisted proofs are identified in ten different textbooks. The CAS based proofs in these textbooks are of three types: complete outsourcing of the proof to CAS; partial outsourcing of the proof to CAS; and additional verification of the proof’ correctness by CAS. Analyses of examples of each of these types are provided. The analyses draw on theoretical constructs related to both proofs and proving (e.g. proof schemes) and to use of digital technologies in mathematics education (lever potential, blackboxing, instrumental genesis). In particular, the analyses make use of a distinction between epistemic, pragmatic and justificational mediations. Results suggest both potential problems with using CAS as an integrated part of deductive mathematical proofs in textbooks, since it appears to promote undesired proof schemes with the students, and difficulties with understanding these problems using the constructs of epistemic and pragmatic mediations that are often adopted in the literature regarding CAS use in mathematics teaching and learning.

scholarly journals VALIDATION OF MATHEMATICS TEACHING PRACTICE INSTRUMENTS AMONG SECONDARY SCHOOL MATHEMATICS TEACHERS: EXPLORATORY FACTOR ANALYSIS (EFA)

2020 ◽  
Vol 5 (36) ◽  
pp. 56-69
Author(s):  
Norkumalasari Othman ◽  
Nor Hasnida Che Md Ghazali ◽  
Mohd Nazir Md Zabit
Keyword(s):  
Factor Analysis ◽  
Secondary School ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Teaching Practice ◽  
School Mathematics ◽  
Chi Square ◽  
Secondary School Mathematics ◽  
Bartlett Test ◽  
Value Measure

This study aims to review the instruments of mathematics teaching practice among secondary school mathematics teachers. A total of 100 mathematics teachers were involved as respondents in this study. The data were analyzed descriptively by access to Alpha Cronbach's reliability and EFA analysis using SPSS software. The results of the analysis show that the Alpha Cronbach value is 0.934 which is more than 0.60. Results from the exploration factor analysis show four factors with Eigenvalues greater than 1.0. The KMO value (Kaiser-Meyer-Olkin) 0.867 > 0.6 indicates the items in the variable of attitude towards math are sufficient for inter-correlation. While the Bartlett Test was significant (Chi-Square 1521.621, p <0.05), an anti-image value (Measure of Sampling Adequacy, MSA) for items correlation exceeded 0.6. However, there are three items that need to be removed because the values obtained are less than 0.60, which were the items G11, G14, and G18. The value of the total variance explained by these three factors was 62.76 percent. Therefore, the overall findings indicate that the items for mathematics teaching practice instruments can measure and answer the study objectives.

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