scholarly journals Designing Tasks for a Dynamic Online Environment: Applying Research into Students’ Difficulties with Linear Equations

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 557
Author(s):  
Morten Elkjær ◽  
Uffe Thomas Jankvist
Keyword(s):  
Design Theory ◽  
Teaching And Learning ◽  
Linear Equations ◽  
Task Design ◽  
Tree Structure ◽  
Learning Trajectory ◽  
Variation Theory ◽  
Online Environment ◽  
School Students ◽  
Personalised Learning

Despite almost half a century of research into students’ difficulties with solving linear equations, these difficulties persist in everyday mathematics classes around the world. Furthermore, the difficulties reported decades ago are the same ones that persist today. With the immense number of dynamic online environments for mathematics teaching and learning that are emerging today, we are presented with a perhaps unique opportunity to do something about this. This study sets out to apply the research on lower secondary school students’ difficulties with equation solving, in order to eventually inform students’ personalised learning through a specific task design in a particular dynamic online environment (matematikfessor.dk). In doing so, task design theory is applied, particularly variation theory. The final design we present consists of eleven general equation types—ten types of arithmetical equations and one type of algebraic equation—and a broad range of variations of these, embedded in a potential learning-trajectory-tree structure. Besides establishing this tree structure, the main theoretical contribution of the study and the task design we present is the detailed treatment of the category of arithmetical equations, which also involves a new distinction between simplified and non-simplified arithmetical equations.

scholarly journals Exploring students’ procedural flexibility in three countries

2022 ◽  
Vol 9 (1) ◽  
Author(s):  
Jon R. Star ◽  
Dimitri Tuomela ◽  
Nuria Joglar Prieto ◽  
Peter Hästö ◽  
Riikka Palkki ◽  
...  
Keyword(s):  
High School Students ◽  
Teaching And Learning ◽  
Linear Equations ◽  
National Study ◽  
Educational Systems ◽  
School Students ◽  
Multiple Strategies ◽  
Equation Solving ◽  
Academic Track ◽  
Cross National Study

Abstract Background In this cross-national study, Spanish, Finnish, and Swedish middle and high school students’ procedural flexibility was examined, with the specific intent of determining whether and how students’ equation-solving accuracy and flexibility varied by country, age, and/or academic track. The 791 student participants were asked to solve twelve linear equations, provide multiple strategies for each equation, and select the best strategy from among their own strategies. Results Our results indicate that knowledge and use of the standard algorithm for solving linear equations is quite widespread across students in all three countries, but that there exists substantial within-country variation as well as between-country variation in students’ reliance on standard vs. situationally appropriate strategies. In addition, we found correlations between equation-solving accuracy and students’ flexibility in all three countries but to different degrees. Conclusions Although it is increasingly recognized as an important construct of interest, there are many aspects of mathematical flexibility that are not well-understood. Particularly lacking in the literature on flexibility are studies that explore similarities and differences in students’ repertoire of strategies for solving algebra problems across countries with different educational systems and curricula. This study yielded important insights about flexibility and can push the field to explore the extent that within- and between-country differences in flexibility can be linked to differences in countries’ educational systems, teaching practices, and/or cultural norms around mathematics teaching and learning.

scholarly journals La implementación del taller “Juguemos con Álgebra” para la mejora del rendimiento académico en el tema de expresiones algebraicas y la resolución de ecuaciones lineales, así como la conceptualización de la materia de matemáticas de los estudiantes de 3° de secundaria / The Implementation of the Workshop “Let’s Play with Algebra” for the Improvement of Academic Performance in the Field of Algebraic Expressions and Linear Equations Solving Sills as well as the Conceptualization of Maths of 3rd Year of Secondary School Students

2014 ◽  
Vol 2 (2) ◽  
Author(s):  
Ana Laura Núñez Rodríguez ◽  
Alma Minerva Aguilar Martínez ◽  
Mireya Sarahí Abarca Cedeño ◽  
Jesús Antonio Larios Trejo
Keyword(s):  
Academic Performance ◽  
Teaching And Learning ◽  
Linear Equations ◽  
Mathematics Students ◽  
School Students ◽  
Grade Group ◽  
Algebraic Expressions ◽  
Training Approach ◽  
The Subject ◽  
The Impact

ABSTRACTOften, the design of dynamic and engaging activities for teaching mathematics is one of the main challenges faced by teachers of the subject, because the Studies Program 2011 of Mexican Educational System considers that is the teacher who should promote teaching situations to arouse interest in students, promoting the development of skills, by working both individually and as a collective. Looking to design and validate experiences that promote the teaching and learning of mathematics, was conducted this research, which aimed to assess the impact of the workshop “Juguemos con Álgebra” in the conceptualization of the subject of mathematics students of 3rd grade group A, of high school Alberto Larios Villalpando, as well as the impact on academic performance in the area of algebraic expressions and solving linear equations. The workshop implemented the Program of Studies 2011, that is, work-based training approach, which is to problematize students to discuss and analyze their procedures and results, supporting this with the game, as a resource for teaching of algebra.RESUMENCon frecuencia, el diseño de actividades dinámicas y atractivas para la enseñanza de las matemáticas es uno de los principales retos a los que se enfrentan los profesores de dicha materia, debido a que el Programa de Estu-dios 2011 del Sistema Educativo Mexicano considera que es el docente quien debe propiciar situaciones didácticas para despertar el interés en los alumnos; promoviendo el desarrollo de ciertas habilidades, tanto a través del trabajo individual y autónomo como colectivo. Buscando diseñar y validar experiencias que favorezcan el proceso de enseñan-za-aprendizaje de las matemáticas, se llevó a cabo la presente investigación, la cual tuvo como objetivo evaluar el impacto del taller “Juguemos con Álgebra” en la conceptualización de la materia de matemáticas en alumnos de 3° grupo A de la escuela secundaria Alberto Larios Villalpando, turno vespertino, así como también el impacto en el rendimiento académico en el tema de expresiones algebraicas y resolución de ecuaciones lineales. En dicho taller se puso en práctica lo propuesto en el Programa de Estudios 2011, es decir, trabajar con base en un enfoque didáctico, el cual consiste en problematizar a los alumnos para que discutan y analicen sus procedimientos y resultados, apoyando esto con el juego, como recurso para la enseñanza del álgebra. Contacto principal: [email protected]

PENGARUH CONTEXTUAL TEACHING AND LEARNING (CTL) TERHADAP PEMAHAMAN MEMBACA SISWA

2012 ◽  
Vol 18 (1) ◽  
pp. 30
Author(s):  
Anni Holila Pulungan
Keyword(s):  
High School ◽  
Reading Comprehension ◽  
High School Students ◽  
Junior High School ◽  
Teaching And Learning ◽  
Junior High ◽  
School Students ◽  
Lecture Method ◽  
Contextual Teaching ◽  
Better Than

The study deals with the Contextual Teaching and Learning of the students’ reading comprehension at junior high school. Contextual Teaching and Learning is a new alternative for every teachers to relate the materials to the real world. The aims of the research are to analyze the effect of non and CTL method of the students’ reading comprehension.  The research method is an experimental method. The data analysis is taken from the two classess. Then, they divided into two  groups, the control and experimental group. The major findings of the study shows that the effect of Contextual Teaching and Learning on the students’ reading comprehension is better than the non CTL method-lecture method for the junior high school students.

scholarly journals Game-Based Multimedia for Horizontal Numeracy Learning

2019 ◽  
Vol 14 (15) ◽  
pp. 159
Author(s):  
Dedi Rohendi
Keyword(s):  
Elementary Schools ◽  
Learning Outcomes ◽  
Elementary School Students ◽  
Learning Process ◽  
Teaching And Learning ◽  
School Students ◽  
Multimedia Development ◽  
Post Test ◽  
Grade 3 ◽  
Difficult Subject

Recently, game-based multimedia development has been increasing rapidly. Game-based multimedia is not only used for entertaining but also for teaching and learning process. Meanwhile, for the majority of elementary school students, numeracy learning is still considered as a difficult subject to be learned and has not attracted students’ interest because it still uses vertical methods. The objective of this research is to examine the implementation of game-based multimedia in learning horizontal numeracy. In this game-based multimedia, horizontal numeracy material is presented in the form of a game. Horizontal numeracy material begins with addition, subtraction, multiplication, and division. Game-based multimedia is implemented to 20 students in grade 3 elementary schools in Bandung, Indonesia. Subsequently, the way students learn the materials and their learning outcomes are explored after using this multimedia. The results show that the students can learn horizontal numeracy excitingly; moreover, they can easily understand the concept of horizontal numeracy quickly. It is indicated by by the increasing of average post-test value.

Mathematical Communication Skills of Junior Secondary School Students in Coastal Area

2013 ◽  
Vol 63 (2) ◽  
Author(s):  
Kadir, Jl ◽  
Mayjen S. Parman
Keyword(s):  
Secondary School ◽  
Communication Skills ◽  
Coastal Area ◽  
Teaching And Learning ◽  
Secondary School Students ◽  
Learning Activity ◽  
School Students ◽  
Mathematical Communication ◽  
Junior Secondary School ◽  
Junior Secondary

Mathematical communication skills of junior secondary school students in coastal area are still considered low due to the lack of contextual problem technique in the teaching of mathematics. The various potencies of the coastal area have been damaged without any concern. It is interesting to investigate the contextual problem in mathematics teaching because it can be identified, required, and related to everyday life. The objective of this study is to enhance mathematical communication skills of junior secondary school students in the coastal area. Using coastal-based contextual teaching and learning (CCTL) can enhance: (1) students’ mathematical communication skills better than conventional teaching and learning (CVTL); and (2) the students’ learning activity, fluency of argument in problem solving process, advanced question skills, and knowledge of coastal area potencies and problems.

Learning Black Language Matters

2017 ◽  
Vol 10 (4) ◽  
pp. 360-377 ◽  
Author(s):  
April Baker-Bell ◽  
Django Paris ◽  
Davena Jackson
Keyword(s):  
High School Students ◽  
Collaborative Research ◽  
Teaching And Learning ◽  
Qualitative Inquiry ◽  
Educational Justice ◽  
School Students ◽  
Culturally Sustaining Pedagogy ◽  
The Core ◽  
Black Language

How can and must critical qualitative inquiry be part of ongoing struggles for cultural and educational justice with the communities of our work? We explore this question by reflecting on our collaborative research on culturally sustaining pedagogy centered in the study of Black Language (BL). Building on the core humanizing research notion of dialogic consciousness-raising between researchers and participants, we describe the ways the three of us came to deepened knowledge about the role of BL in our lives and in the lives of the high school students we worked with through a humanizing research as culturally sustaining pedagogy framework. In this framework, the ability to participate in BL, research-based knowledge about BL, and critical collaborative research on BL joined reciprocal inquiry with teaching and learning to center the value of our Black language and Black lives within a schooling and research enterprise that often devalues both.

scholarly journals Relações com o saber, com o ensinar e com a aprendizagem em um projeto de formação inicial de professores de matemática no Brasil Relations with the knowledge, teaching and learning in a initial training Project of mathematic teachers in Brazil

2017 ◽  
Vol 19 (2) ◽  
Author(s):  
Diego Fogaça Carvalho ◽  
Marinez Meneghello Passos ◽  
Sergio De Mello Arruda ◽  
Angela Marta Pereira das Dores Savioli
Keyword(s):  
Elementary School ◽  
University Students ◽  
Undergraduate Students ◽  
Teaching And Learning ◽  
Analytical Instrument ◽  
Initial Training ◽  
School Students ◽  
Training Project ◽  
The University ◽  
The Relationship

ResumoNeste artigo analisamos as relações com o saber, com o ensinar e com o aprender em atividades desenvolvidas em um subprojeto de Matemática no Programa Institucional de Bolsas de Iniciação à Docência (PIBID). Os dados consistiram no registro das ações realizadas em sala de aula por um supervisor (professor), seis estudantes da licenciatura em Matemática e alunos do Ensino Fundamental de uma escola pública do estado do Paraná, Brasil. Para a interpretação dos dados foi utilizado um instrumento que possibilita evidenciar as relações com o saber na sala de aula denominado Matriz 3x3. As análises revelaram implicações da ação do supervisor na ação tanto dos estudantes universitários quanto dos alunos da escola e, consequentemente, nas relações que estes estabeleceram com o saber, o ensinar e o aprender.AbstractIn this article we analyze the relationship with knowledge, with teaching and with learning in activities developed in a subproject of Mathematics in the Institutional Program of Initiation to Teaching (PIBID). The data consisted of the registration of actions carried out in the classroom by a supervisor (teacher), six undergraduate students in Mathematics and students of the Elementary School of a public school in the state of Paraná, Brazil. For the interpretation of the data we used an analytical instrument called Matrix 3x3. The analyses revealed the implications of the supervisor's action on the actions of the university students and of the school students and consequently on the relationships they established with knowledge, teaching and learning.

scholarly journals THE IMPLEMENTATION OF FUN FISHING TO TEACH SPEAKING FOR ELEMENTARY SCHOOL STUDENTS

2020 ◽  
Vol 1 (1) ◽  
pp. 1-6
Author(s):  
Robekka Risten Fransiska Sinaga ◽  
Lulud Oktaviani
Keyword(s):  
Physical Activity ◽  
Elementary School ◽  
Foreign Language ◽  
Language Learning ◽  
Elementary School Students ◽  
Teaching And Learning ◽  
Qualitative Method ◽  
School Students ◽  
Short Attention Span ◽  
Learning English

To produce competitive students that ready to face the trend of language learning in English as a foreign language, especially speaking skills, teachers should be ready to develop good planning in the teaching process. It can be in the form of strategies that can motivate students in the learning process. Moreover, in teaching elementary school students, teachers should be more creative to encourage students’ motivation in speaking by using attractive teaching media which involves physical activity because young learners usually only have a short attention span. By using teaching media, students will learn a language in such attractive and fun ways. Thus, the researchers want to see the use of Fun Fishing in teaching speaking at one of the Elementary Schools in Lampung to encourage students in learning English. This research used a qualitative method since it disclosed how to implement Fun Fishing media in an Elementary School in Lampung. As a result, the students were divided into four groups consisted of 2-3 members and learned English which involved physical activity. To sum up, using this media in learning English can motivate students to speak in English and make teaching and learning become more fun because they did physical activity.

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