Search results for "Early Algebra"
showing 5 items of 5 documents
The Fifth Lesson: Students’ Responses to a Patterning Task Across the Four Countries
2019
The chapter reports a comparative analysis of problem-solving activities in classrooms in the four countries. The problem students work with is a patterning task, taken from a major international comparative study. The idea of analyzing this group work across countries is to see what traces of algebra learning may be discerned in the work of the students. The results show the complexities of early algebra learning by presenting in detail the obvious variations in how students tackle the problem in more or less algebraic ways. In the small-group work in classrooms, students pool their ideas allowing for the discourse to build on itself in a cumulative manner.
Teaching and Learning of Algebra
2015
Topic Study Group 9 aimed to bring together researchers, developers and teachers who investigate and develop theoretical accounts of the teaching and learning of algebra. The group sought both empirically grounded contributions focussing on the learning and teaching of algebra in diverse classrooms settings, the evolution of algebraic reasoning from elementary through university schooling as well as theoretical contributions throwing light on the complexities involved in teaching and learning of algebra. Prospective contributors were requested to address one or more of the following themes: early algebra, use of ICT in algebra classrooms, proof and proving in algebra, problem solving, semio…
Cultural transposition: Italian didactic experiences inspired by Chinese and Russian perspectives on whole number arithmetic
2019
The paper presents some reflections and activities developed by researchers and teachers involved in teacher education programs on cultural transposition. The construct of cultural transposition is presented as a condition for decentralizing the didactic practice of a specific cultural context through contact with other didactic practices of different cultural contexts. We discuss the background theoretical issues of this approach and also give an analysis of two examples of cultural transposition experiences carried out in Italy. In particular, by means of qualitative analysis of some excerpts, discussions, and interviews, we show that the contact with different perspectives coming from Ch…
Strategies exhibited by good and average solvers of geometric pattern problems as source of traits of mathematical giftedness in grades 4-6
2019
International audience; We describe and analyse the strategies used by students in primary grades 4, 5 and 6 to solve linear and affine geometric pattern problems. Based on two problems posed in a teaching experiment, we have identified several profiles of strategies used by students to solve the problems. We consider the profiles of students who were good geometric pattern problem solvers as traits that may help identify mathematical giftedness. Our results show that average students used very often incorrect functional strategies and were consistent in using incorrect proportional strategies along the grades. On the other hand, good geometric pattern problem solvers tended to use correct …
La realtà multiculturale della scuola: comparazione di processi cognitivi tra studenti italiani e cinesi
2013
Obiettivo primario della ricerca è quello di riflettere sulle questioni riguardanti le Matematiche Elementari in una visione quanto più ampia possibile, alla luce di una scuola sempre più “diversificata”, multiculturale e globalizzata, trattando in maniera diretta non soltanto le problematiche strettamente riferite ai contenuti disciplinari relativi specificatamente al pensiero algebrico e geometrico per la scuola Primaria e Secondaria, ma anche quelli che in molti casi possono definirsi come gli aspetti storico-epistemologici della disciplina discussa in aula con gli allievi. Quale didattica disciplinare nella classe del terzo millennio? Quale formazione matematica? Quali saperi? E quindi.…