scholarly journals The Mathematical Proficiency Promoted by Mathematical Modelling

2021 ◽  
Vol 4 (2) ◽  
pp. 107-131
Author(s):  
Priscila Dias Corrêa ◽  
Keyword(s):  
High School Students ◽  
Mathematical Modelling ◽  
Mathematics Teaching ◽  
Research Study ◽  
Mathematical Work ◽  
School Students ◽  
Design Based Research ◽  
Video Recordings ◽  
Mathematical Proficiency ◽  
Insight Into

This study aims to investigate the mathematical proficiency promoted by mathematical modelling tasks that require students to get involved in the processes of developing mathematical models, instead of just using known or given models. The research methodology is grounded on design-based research, and the classroom design framework is supported by complexity science underpinnings. The research intervention consists of high-school students, from a grade 11 mathematics course, aiming to solve four different modelling tasks in four distinct moments. Data was collected during the intervention from students’ written mathematical work and audio and video recordings, and from recall interviews after the intervention. Data analysis was conducted based on a model of mathematical proficiency and assisted by interpretive diagrams created for this research purpose. This research study offers insight into mathematics teaching by portraying how mathematical modelling tasks can be integrated into mathematics classes to promote students’ mathematical proficiency. The study discusses observed expressions and behaviours in students’ development of mathematical proficiency and suggests a relationship between mathematical modelling processes and the promotion of mathematical proficiency. The study also reveals that students develop mathematical proficiency, even when they do not come to full resolutions of modelling tasks, which emphasizes the relevance of learning processes, and not only of the products of these processes.

scholarly journals The Effects of Mathematical Modelling in Mathematics Teaching of Linear, Quadratic and Logarithmic Functions

2021 ◽  
Vol 2 (2) ◽  
pp. 129-144
Author(s):  
Naida Bikić ◽  
Dževad Burgić ◽  
Vehid Kurtić
Keyword(s):  
High School ◽  
High School Students ◽  
Academic Success ◽  
Mathematical Modelling ◽  
Mathematics Teaching ◽  
Control Group ◽  
Linear Quadratic ◽  
School Students ◽  
Final Exam ◽  
Logarithmic Functions

<p style="text-align: justify;">This study aims to acquaint high school students with the process of modelling in mathematics teaching. The research lasted 5 weeks with a group of (N=36) high school students of Zenica-Doboj Canton (Bosnia and Herzegovina). Students had an opportunity to learn about functions and their properties, and subsequently about mathematical modelling with linear, quadratic, and logarithmic functions. Examples in the research were related to real-world phenomena and processes. The problems were composed of the following subtasks: creating or testing a model, explaining the results, finding the domain and range, and critical thinking about the model. The research identifies the importance of mathematical modelling in teaching. The results display a positive impact of such an approach on students, their thinking, attitude towards teaching, understanding of the materials, motivation and examination scores. The experiences that both students and teachers may have in a mathematical modelling framework could be extremely important for the academic success. A control group of 36 students took the final exam as well. The students of the experimental group got much better results than the students of the control group. Indeed, learning through mathematical modelling has been shown to contribute to all the aspects of students' expected development.</p>

scholarly journals Sleepmore in Seattle: Later school start times are associated with more sleep and better performance in high school students

2018 ◽  
Vol 4 (12) ◽  
pp. eaau6200 ◽  
Author(s):  
Gideon P. Dunster ◽  
Luciano de la Iglesia ◽  
Miriam Ben-Hamo ◽  
Claire Nave ◽  
Jason G. Fleischer ◽  
...  
Keyword(s):  
High School ◽  
High School Students ◽  
Secondary School ◽  
Quantitative Data ◽  
Research Study ◽  
School Students ◽  
Start Time ◽  
Adolescent Sleep ◽  
Single Intervention ◽  
School Start Times

Most teenagers are chronically sleep deprived. One strategy proposed to lengthen adolescent sleep is to delay secondary school start times. This would allow students to wake up later without shifting their bedtime, which is biologically determined by the circadian clock, resulting in a net increase in sleep. So far, there is no objective quantitative data showing that a single intervention such as delaying the school start time significantly increases daily sleep. The Seattle School District delayed the secondary school start time by nearly an hour. We carried out a pre-/post-research study and show that there was an increase in the daily median sleep duration of 34 min, associated with a 4.5% increase in the median grades of the students and an improvement in attendance.

scholarly journals Wix Web-Based Dance Learning Media to Support Teaching in The Pandemic Era in High School

2021 ◽  
Vol 21 (1) ◽  
pp. 178-191
Author(s):  
Frahma Sekarningsih ◽  
Agus Budiman ◽  
Gaung Rizki Gustiaji
Keyword(s):  
High School ◽  
High School Students ◽  
Digital Literacy ◽  
Quantitative Methods ◽  
Study Data ◽  
Material Structure ◽  
Website Design ◽  
Design Development ◽  
School Students ◽  
Design Based Research

This study intends to develop and design a web for dance learning for high school students. This design-based research focuses on two problems, namely (1) the concept of a dance website design which is expected to be suitable for use as a medium for learning dance in the current pandemic era, and (2) the effectiveness of the dance website that is developed as a digital literacy source that can be used as a medium for learning dance in senior high schools. The research method used in this research is design-based research (DBR) with research stages that include design process, design development, evaluation, and design revision. Data collection techniques were carried out by interview and document study. Data analysis was carried out by combining qualitative and quantitative methods. The results show that the website design developed is relevant to the needs and online-based student learning methods needed during the current Covid-19 pandemic. After going through the validation and testing process, the website design developed can be applied properly. The website developed is easily accessible by students and teachers to support the implementation of dance learning that takes place online. Access mechanisms, material structure, content, and existing supporting features can be used as a means of technology literacy education for students.

scholarly journals Un estudio sobre el uso de CAS como caja negra para el aprendizaje de factorizaciones A study on the use of CAS as a black box for the learning of factorization

2017 ◽  
Vol 19 (2) ◽  
Author(s):  
Abigail González Maldonado ◽  
Mario Sánchez Aguilar
Keyword(s):  
High School Students ◽  
Secondary School ◽  
Secondary School Students ◽  
Research Study ◽  
Research Question ◽  
Black Box ◽  
Mathematics Students ◽  
Mathematical Software ◽  
Lower Secondary School ◽  
School Students

ResumenEn este artículo se reporta una investigación en la cual se intenta averiguar si los estudiantes pueden adquirir habilidades necesarias para realizar factorizaciones algebraicas, utilizando software matemático. Para contestar la interrogante de la investigación, se aplicaron actividades a estudiantes de nivel secundaria y bachillerato, donde debían calcular factorizaciones algebraicas con ayuda del software GeoGebra, posteriormente se les pedía que buscaran patrones en los resultados que arrojaba el software para poder generar una factorización general. Después de analizar los resultados de la experimentación se encontró́ que los estudiantes son capaces de producir factorizaciones algebraicas generales, aunque presentan ciertas dificultades. Este trabajo cierra haciendo una discusión de las implicaciones que pueden tener los resultados encontrados.AbstractThis paper describes a research study focused on finding out if mathematics students can acquire skills necessary to perform algebraic factorizations by using mathematical software. To answer the research question, a group of lower secondary school students and high school students were involved in mathematical activities where there should calculate algebraic factorizations using the software GeoGebra, then they were asked to look for patterns in the results generated by the software in order to produce a general factorization. After analyzing the results of the experimentation, it was found that students are able to produce general algebraic factorizations, but some of them have some difficulties in doing so. This work is closed by a discussion of the implications of the research results.

Promoting Problem Solving across Geometry and Algebra by Using Technology

2005 ◽  
Vol 98 (9) ◽  
pp. 599-603
Author(s):  
A. Kursat Erbas ◽  
Sarah D. Ledford ◽  
Chandra Hawley Orrill ◽  
Drew Polly
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Teacher Support ◽  
Original Problem ◽  
Mathematical Thinking ◽  
School Students ◽  
And Algebra ◽  
Insight Into ◽  
Mathematics Problem

Technology is a powerful tool in assisting students in problem solving by allowing for multiple representations. It is particularly effective when students are encouraged to explore a single mathematics problem with multiple technologies. Using technology allows students to be creative in their problem-solving techniques, look at data in a variety of ways, and see the viability of their answers, all of which may lead to a better understanding of mathematics. The vignette offered in this article provides insight into ways to solve open-ended problems by using multiple technologies. Although the series of events described is hypothetical, the original problem is familiar and the authors' collective experiences with such tasks and high school students indicates that the students are able to explore problems in ways that demonstrate and extend their mathematical thinking when they have appropriate teacher support.

scholarly journals CONCEPTUAL UNDERSTANDING OF SOLUBILITY CONCEPTS AMONG FIRST-GRADE HIGH-SCHOOL STUDENTS

2017 ◽  
Vol 38 (1) ◽  
pp. 109 ◽  
Author(s):  
Marina Stojanovska
Keyword(s):  
High School ◽  
High School Students ◽  
Conceptual Understanding ◽  
Conceptual Knowledge ◽  
First Grade ◽  
Control Group ◽  
Multiple Choice Questions ◽  
School Students ◽  
Experimental Group ◽  
Insight Into

A study was conducted to inspect conceptual understanding of solubility concepts among first-grade students and to identify the potentially present misconceptions. A total of 122 high-school students (15–16 years old) were involved in the study and a solubility concept test was administered in order to get insight into their conceptual knowledge. Students were divided into two groups: control group and an experimental one. Only the experimental group was subjected to a conceptual change intervention program.Descriptive statistics and significance testing were used to analyse and summarize data. Independent-samples t-test was used to test the differences in the scores between the control group and the experimental one and between male and female students involved in the study. For multiple-choice questions, four areas of conceptual understanding have been set: satisfactory conceptual understanding, roughly adequate performance, inadequate performance and quite inadequate performance. Furthermore, the findings revealed six misconceptions present in students’ minds.

scholarly journals Building Students’ Hard and Soft Skills through Innovative Teaching Approaches to Mathematics

2019 ◽  
Vol 54 (5) ◽  
Author(s):  
Euis Eti Rohaeti
Keyword(s):  
High School Students ◽  
Mathematics Teaching ◽  
Soft Skills ◽  
Meta Analysis ◽  
Learning Approaches ◽  
Teaching Approaches ◽  
School Students ◽  
Innovative Teaching

The goals of this case study were to (1) analyze the role of innovative mathematics teaching approaches among middle and high school students regarding their hard and soft mathematical skills; (2) to examine students’ perceptions about the mathematical teaching approaches, used by their teachers during class sessions, (3) to analyze aspects of innovation in them. The descriptive case study approach was used to analyze the role of innovative teaching approaches in helping students to develop various mathematical hard and soft skills. A qualitative meta-analysis methodology was applied to ten student theses about mathematics teaching within the Department of Mathematics in the School of Postgraduate studies of IKIP Siliwangi in Cimahi. This paper presents the results based on ten graduate students’ theses research studies, selected purposively from 68 student theses. The selection of articles aimed to include a variety of theses discussing mathematics skills teaching and learning approaches. The results show that, in general, students who were trained with innovative teaching approaches attained higher grades than students taught by conventional teaching methods. It has been established that students’ grades on mathematical hard skills varied after intervention. On the contrary, regarding students mathematical soft skills, some theses reported no difference between students taught using both approaches, while some reported greater differences. Finally, students had good opinions regarding the innovative teaching-learning approaches, used by their teachers.

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