Comparing German and Taiwanese secondary school students’ knowledge in solving mathematical modelling tasks requiring their assumptions

ZDM ◽  
2019 ◽  
Vol 52 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Yu-Ping Chang ◽  
Janina Krawitz ◽  
Stanislaw Schukajlow ◽  
Kai-Lin Yang
Author(s):  
Dayane Cristielle Siquiere ◽  
Marli Teresinha Quartieri

Resumo Neste artigo apresenta-se um recorte dos resultados de uma prática pedagógica, aplicada, durante os meses de julho e agosto, a um grupo voluntário de oito alunos do Ensino Médio de uma escola estadual do Município de Novo Mundo no estado do Mato Grosso. Desenvolvida à luz da Modelagem Matemática, a pesquisa teve como objetivo principal analisar as implicações do uso desta metodologia, no processo de estudo de diferentes funções com alunos do Ensino Médio, partindo do tema Pecuária. A pesquisa, de cunho qualitativo com análise descritiva, utilizou-se dos seguintes instrumentos de coleta de dados: gravação dos encontros em áudio e vídeo, caderno de campo da professora/pesquisadora, fórum interativo pelo Google sala de aula e entrevista. No decorrer da prática pedagógica, evidenciaram-se a motivação e a dedicação dos alunos em estudarem conceitos matemáticos a partir do contexto em que se encontram inseridos. Destaca-se também a capacidade de pesquisa, tanto no processo de coleta de dados como na matematização, dos alunos envolvidos. Durante o desenvolvimento da prática, construíram-se conceitos iniciais de função afim e função quadrática, bem como foram utilizados conceitos de porcentagem, regra de três, perímetro e área. Por fim, salienta-se que o tema Pecuária proporcionou discussões econômicas, sociais e culturais acerca dos diferentes tipos dessa atividade desenvolvida na comunidade, tornando os estudantes mais críticos e atentos ao contexto em que vivem. Palavras-chave: Modelagem Matemática. Função Afim. Função Quadrática. Pecuária. Ensino Médio. AbstractThis article presents the outcomes of a teaching practice applied from July to August 2020 to a volunteer group of eight Secondary School students in a state school in the municipality of Novo Mundo in Mato Grosso, Brazil. Based on Mathematical Modelling, the main purpose of this research was analyzing the implications of using this methodology in the process of studying distinct functions with Secondary School students, based on the theme of the Livestock Industry. This research was qualitative, used descriptive analysis, and collected data through audio recordings and video shootings of the meetings, teacher/researcher’s field journal, interactive forum through Google Classroom and interview. During this practice, students’ motivation and dedication became evident in studying mathematical concepts related to their environment. Furthermore, their researching capacity stood out, both in collecting the data and in mathematization. In the practice, initial concepts for affine and quadratic functions were developed, as well as concepts of percentage, rule of three, perimeter, and area. Finally, the theme of Livestock Industry promoted economic, social, and cultural discussions about the distinct types of this activity developed within the community, making students more aware and critical of the environment where they live. Keywords: Mathematical Modelling. Affine Function. Quadratic Function. Livestock Industry. Secondary School.


Author(s):  
Kerri Spooner

Mathematical modelling is part of many curricula around the world. Some of these curriculum statements are vague and general. There is a need for statements to be more specific with supporting examples for implementation of curriculums. There is also a need for further development of activities focused on authentic mathematical modelling behaviour. To address this problem, an ethnographic study in New Zealand was carried out to identify the behaviours of a real world mathematical modelling team. These behaviours were then explored to determine what they could look like for a sixteen-year-old student. This paper will present the modelling behaviours of the real world modelling team and the potential authentic mathematical modelling behaviours of a secondary school student.


2002 ◽  
Vol 18 (3) ◽  
pp. 214-228 ◽  
Author(s):  
Heinz Neber ◽  
Kurt A. Heller

Summary The German Pupils Academy (Deutsche Schüler-Akademie) is a summer-school program for highly gifted secondary-school students. Three types of program evaluation were conducted. Input evaluation confirmed the participants as intellectually highly gifted students who are intrinsically motivated and interested to attend the courses offered at the summer school. Process evaluation focused on the courses attended by the participants as the most important component of the program. Accordingly, the instructional approaches meet the needs of highly gifted students for self-regulated and discovery oriented learning. The product or impact evaluation was based on a multivariate social-cognitive framework. The findings indicate that the program contributes to promoting motivational and cognitive prerequisites for transforming giftedness into excellent performances. To some extent, the positive effects on students' self-efficacy and self-regulatory strategies are due to qualities of the learning environments established by the courses.


2012 ◽  
Vol 24 (4) ◽  
pp. 135-142 ◽  
Author(s):  
Jake Harwood ◽  
Laszlo Vincze

Based on the model of Reid, Giles and Abrams (2004 , Zeitschrift für Medienpsychologie, 16, 17–25), this paper describes and analyzes the relation between television use and ethnolinguistic-coping strategies among German speakers in South Tyrol, Italy. The data were collected among secondary school students (N = 415) in 2011. The results indicated that the television use of the students was dominated by the German language. A mediation analysis revealed that TV viewing contributed to the perception of ethnolinguistic vitality, the permeability of intergroup boundaries, and status stability, which in turn affected ethnolinguistic-coping strategies of mobility (moving toward the outgroup), creativity (maintaining identity without confrontation), and competition (fighting for ingroup rights and respect). Findings and theoretical implications are discussed.


2014 ◽  
Vol 45 (2) ◽  
pp. 112-126 ◽  
Author(s):  
Martin Latsch ◽  
Bettina Hannover

We investigated effects of the media’s portrayal of boys as “scholastic failures” on secondary school students. The negative portrayal induced stereotype threat (boys underperformed in reading), stereotype reactance (boys displayed stronger learning goals towards mathematics but not reading), and stereotype lift (girls performed better in reading but not in mathematics). Apparently, boys were motivated to disconfirm their group’s negative depiction, however, while they could successfully apply compensatory strategies when describing their learning goals, this motivation did not enable them to perform better. Overall the media portrayal thus contributes to the maintenance of gender stereotypes, by impairing boys’ and strengthening girls’ performance in female connoted domains and by prompting boys to align their learning goals to the gender connotation of the domain.


2019 ◽  
Author(s):  
Beijia Tan ◽  
Jenee Love ◽  
Leigh Harrell-Williams ◽  
Christian E. Mueller ◽  
Martin H. Jones

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