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Current reforms in mathematics education emphasise the need for pedagogy because it offers learners opportunities to develop their proficiency with complex high-level cognitive processes. One has always associated the ability to make mathematical connections, together with the teacher’s role in teaching them, with deep mathematical understanding. This article examines the nature and quality of the mathematical connections that the teachers’ representations of those connections enabled or constrained. The researchers made video recordings of four Grade 11 teachers as they taught a series of five lessons on algebra-related topics. The results showed that the teachers’ representations of mathematical connections were either faulty or superficial in most cases. It compromised the learners’ opportunities for making meaningful mathematical connections. The researchers concluded by suggesting that helping teachers to build their representation repertoires could increase the effectiveness of their instructional practices.

mathematics pythagoras journalarticles teachers

Today the understanding of mathematics is critical in an increasingly technological age. Teachers must play an important role to ensure that all students display confidence in their ability to do mathematics. Often gifted students of mathematics can be made to feel bad by their peers just because they know mathematics and things come easily to them. Children’s and adolescent literature has now been recognised as a means of teaching mathematics to students through the use of stories to make the mathematics concepts relevant and meaningful.

mathematics journalarticles Pythagoras

In order to ascertain the real-life situations that teachers, as stakeholders, would find suitable and appropriate to deal with in Mathematical Literacy (a compulsory subject for students who are not doing Mathematics at the Further Education and Training level of the South African education system), we embarked on a study known as the Relevance of School Mathematics Education (ROSME). The principle underpinning this article is that there are times when it is necessary to assess the functionality and quality of questionnaires used to ascertain affective domain issues. The study provides an analysis technique which is not affected by the sample of individuals completing a questionnaire, provided that the instrument meets particular requirements. It thus improves the rigour of measurement. Various statistics obtained in this study showed that the instrument used to determine the real-life situations which teachers prefer for Mathematical Literacy reasonably identifies this variable. However, it is cautioned that much more care needs to be exercised in construction of such instruments. The results also indicated the real-life situations which teachers most and least preferred to be included in Mathematical Literacy, providing useful information for policy-makers and textbook authors on contextual situations to be included in learning materials.

mathematical literacy mathslit Pythagoras contexts real-life problems Research journalarticles

New article published online in Pythagoras, 32(1):
Rasch modelling of Mathematics and Science teachers’ preferences of real-life situations to be used in Mathematical Literacy.

mathematical literacy mathslit Pythagoras contexts real-life problems Research journalarticles

What is your view on the argument in the attached paper that the ML assessment taxonomy does not adequately provide for reasoning and problem solving?

Pythagoras problem-solving reasoning taxonomy Alwyn