Teaching Mathematics with Technology: Ratios

1988 ◽  
Vol 35 (8) ◽  
pp. 60-62
Author(s):  
Robert J. Jensen
Keyword(s):  
Model Building ◽  
Proportional Reasoning ◽  
Real Life ◽  
Meaningful Work ◽  
Teaching Mathematics ◽  
Critical Component ◽  
Measurement Systems ◽  
Map Reading ◽  
Reasoning Skills ◽  
Unit Pricing

Learning about ratios empowers children with a language and procedure for comparing relative quantities in an efficient way. Understanding ratios is also a necessary precursor to meaningful work with proportional reasoning. The fact that many adults do not reach the Piagetian level described as “formal thought” is often attributed to weaknesses in their proportional reasoning skills. Aside from justifying the study of ratios as a critical component of formal thought, the varied real-life applications for ratios (cooking, model building, map reading, converting among and between measurement systems, calculating odds, scale drawing, unit pricing, etc.) make this area particularly meaningful to students. This month's department suggests a series of ratio activities for children that make use of a computer to produce graphically collections of objects in a grid with variable dimensions.

STUDENTS’ PROPORTIONAL REASONING IN MATHEMATICS THROUGH COVID-19 PANDEMIC CONTEXT

2021 ◽  
Vol 10 (3) ◽  
pp. 1670
Author(s):  
Rohati Rohati ◽  
Turmudi Turmudi ◽  
Kusnandi Kusnandi
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Real World ◽  
Proportional Reasoning ◽  
Learning Activities ◽  
School Students ◽  
Reasoning Skills ◽  
Almost All

Abstract The aim of this study was to ascertain high school students' proportional reasoning in the sense of the COVID-19 pandemic. How do students' thoughts flow when confronted with problems requiring proportional reasoning? This research is a mixed study by collecting data through problem-solving questions to 253 junior high school students in Muaro Jambi, Jambi Province, Indonesia. The problem-solving activities are based on real-world scenarios and require reasoning that is proportional and pertinent to the COVID-19 pandemic context. Due to the ongoing COVID-19 pandemic, the test is administered through the Whatsapp framework. Students' responses are examined in detail to ascertain their proportional reasoning skills. The results indicate that almost all students correctly answered the first question. However, only a small percentage of students were able to answer to and make the correct argument for the second question. The findings indicated that students demonstrated a reasonable level of proportional reasoning when confronted with the COVID-19 pandemic situation. According to the findings of this report, it is important for teachers of mathematics to establish learning activities and problem-solving tasks that help students improve their proportional reasoning skills. Keywords: COVID-19; Problem Solving; Proportional Reasoning; Real-World Situations AbstrakTujuan dari penelitian ini adalah untuk menggali penalaran proporsional siswa SMA  dengan konteks pandemi COVID-19. Bagaimana alur pemikiran siswa ketika dihadapkan pada masalah yang membutuhkan penalaran proporsional? Penelitian ini merupakan penelitian campuran dengan pengumpulan data melalui pertanyaan pemecahan masalah kepada 253 siswa SMP di Muaro Jambi, Provinsi Jambi, Indonesia. Kegiatan pemecahan masalah didasarkan pada skenario dunia nyata dan membutuhkan penalaran yang proporsional dan relevan dengan konteks pandemi COVID-19. Karena pandemi COVID-19 yang sedang berlangsung, tes dikirim melalui aplikasi Whatsapp. Tanggapan siswa diperiksa secara rinci untuk memastikan kemampuan penalaran proporsional mereka. Hasilnya menunjukkan bahwa hampir semua siswa menjawab pertanyaan pertama dengan benar. Namun, hanya sebagian kecil siswa yang mampu menjawab dan membuat argumen yang benar untuk pertanyaan kedua. Hasil penelitian menunjukkan bahwa siswa memiliki alur penalaran proporsional yang cukup baik dengan menggunakan konteks kondisi pandemi COVID-19. Menurut temuan  ini, penting bagi guru matematika untuk menetapkan kegiatan pembelajaran dan tugas pemecahan masalah yang membantu siswa meningkatkan keterampilan penalaran proporsional mereka. Kata kunci: COVID-19; Pemecahan Masalah; Penalaran Proporsional; Situasi Dunia

Mathematics and Meteorology

1986 ◽  
Vol 79 (8) ◽  
pp. 602-603
Author(s):  
Eric F. Wood
Keyword(s):  
High School Students ◽  
Secondary School ◽  
Real Life ◽  
Teaching Mathematics ◽  
School Students ◽  
Weather Forecasts ◽  
Life Problems ◽  
School Classroom ◽  
Interesting Discussion ◽  
Local Weather

One of the ironies of teaching mathematics is that real-life problems, although interesting, are often too difficult to consider in a secondary school classroom. Consequently the problems that are used in texts are often somewhat contrived. While working at the local weather office, I came upon several applications of trigonometry that are both interesting and instructive for high school students. The problems require that some background knowledge be presented to the students, but often they will have at least heard about the ideas from the nightly weather forecasts on television. These ideas make an interesting discussion for both teacher and student.

scholarly journals From Non-symbolic to Symbolic Proportions and Back: A Cuisenaire Rod Proportional Reasoning Intervention Enhances Continuous Proportional Reasoning Skills

2021 ◽  
Vol 12 ◽  
Author(s):  
Roberto A. Abreu-Mendoza ◽  
Linsah Coulanges ◽  
Kendell Ali ◽  
Arthur B. Powell ◽  
Miriam Rosenberg-Lee
Keyword(s):  
Building Block ◽  
Instructional Methods ◽  
Proportional Reasoning ◽  
Intervention Group ◽  
Second Graders ◽  
Control Group ◽  
Educational Challenges ◽  
Fraction Instruction ◽  
Reasoning Skills ◽  
To Receive

The persistent educational challenges that fractions pose call for developing novel instructional methods to better prepare students for fraction learning. Here, we examined the effects of a 24-session, Cuisenaire rod intervention on a building block for symbolic fraction knowledge, continuous and discrete non-symbolic proportional reasoning, in children who have yet to receive fraction instruction. Participants were 34 second-graders who attended the intervention (intervention group) and 15 children who did not participate in any sessions (control group). As attendance at the intervention sessions was irregular (median = 15.6 sessions, range = 1–24), we specifically examined the effect of the number of sessions completed on their non-symbolic proportional reasoning. Our results showed that children who attended a larger number of sessions increased their ability to compare non-symbolic continuous proportions. However, contrary to our expectations, they also decreased their ability to compare misleading discretized proportions. In contrast, children in the Control group did not show any change in their performance. These results provide further evidence on the malleability of non-symbolic continuous proportional reasoning and highlight the rigidity of counting knowledge interference on discrete proportional reasoning.

scholarly journals Eating Healthy: Understanding Added Sugar through Proportional Reasoning

2021 ◽  
Vol 18 (23) ◽  
pp. 12821
Author(s):  
Debasmita Basu ◽  
Hong B. Nguyen
Keyword(s):  
Proportional Reasoning ◽  
Real Life ◽  
Food Products ◽  
School Students ◽  
Result Section ◽  
Added Sugar ◽  
Integrated Stem ◽  
Meaningful Context ◽  
Authentic Problems ◽  
Support Students

Research suggests that integrated STEM activities can best support students in developing their mathematical and scientific understanding. On one hand, while science provides mathematics with real-life authentic problems to investigate, mathematics provides science powerful tools to explore those problems. In line with this call, in this study, we designed an integrated lesson at the cross-section of proportional reasoning and added sugar present in food products to explore how added sugar provides students with a meaningful context to engage in proportional reasoning and how proportional reasoning helps students identify the quantity of added sugar present in different food products and provides students with a platform to initiate a conversation around quality of food products. Developed on the theoretical framework of Realistic Mathematics Education (RME), this lesson was remotely implemented on three middle school students. The result section highlights the design principle of the lesson that provided students with an opportunity to construct an understanding of both the disciplines through a mutual interaction.

scholarly journals Students Mathematics Interest in Senior High Schools: Empirical Evidence from Ashanti Region of Ghana

2019 ◽  
pp. 1-14
Author(s):  
Yarhands Dissou Arthur
Keyword(s):  
High Schools ◽  
Empirical Evidence ◽  
Teaching And Learning ◽  
Teacher Motivation ◽  
Real Life ◽  
Teaching Mathematics ◽  
Ashanti Region ◽  
Life Problems ◽  
Mathematics Educators ◽  
Alpha Reliability

The relevance of students’ academic interest in mathematics is of great concern to stakeholders in education. The present study models students’ interest in mathematics (SIM) using mathematics facility (MF), mathematics connection (MC), teacher motivation (TM) as well as instructor quality and availability (IQA). The study randomly selected 1500 students from 10 senior high schools from the Ashanti region of Ghana; however, 1,263 of the participants fully participated in the study. These participants were made to respond to validated self-administered questionnaires with alpha-reliability of 0.74, 0.69, 0.70, 0.699 and 0.68 for SIM, MC, MF, IQA and TM respectively. Findings from the study showed that MC, MF, IQA and TM explain 71.6% of the variance in students’ interest in mathematics. The study further found that approximately 15% of variability in teachers’ ability to connect mathematics to real life problems is attributable to availability of mathematics facility as well as instructor quality and availability. The study finally found that availability of mathematics facilities for teaching and learning explains 12.4% of instructor quality in teaching mathematics. The study concluded that students’ interest in mathematics is influenced significantly by the teachers’ ability to connect mathematics to real life and the immediate environment, availability of mathematics facility, teacher motivation as well as instructor quality and availability. The study recommended for mathematics educators to take into account the influence of these factors and integrate them in the delivery of mathematics in high schools.

scholarly journals Pelatihan Rich Task Pada Mgmp Matematika SMP Lombok Barat

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Ita Chairun Nissa ◽  
I Ketut Sukarma ◽  
Sanapiah Sanapiah ◽  
Ade Kurniawan ◽  
Sabrun Sabrun
Keyword(s):  
Mathematical Knowledge ◽  
Positive Response ◽  
Real Life ◽  
Teaching Mathematics ◽  
Training Methods ◽  
Training Material ◽  
Community Needs ◽  
Quality Of Teaching ◽  
Life Problems

The West Lombok Mathematics’ Teacher Community needs to be improved because of the government's demands on the quality of teaching mathematics in schools. Having good mathematical knowledge and being able to solve real-life problems is an important key for teachers to be able to develop innovative mathematics teaching. But in fact, teacher training that emphasizes aspects of mathematical content is still not widely implemented. This is an important reason for this training. The training is carried out in one day through video screening and rich task modeling. The assessment of this training is measured using a closed questionnaire that asks the teacher's attitude towards statements related to the training material, training methods, the ability of the speakers, and the motivation of the trainees. The training that was carried out succeeded in getting a positive response that most of the teachers gave a very agreeing attitude. The teachers also feel motivated and have good expectations for applying the knowledge and skills gained from training into teaching mathematics in the classroom

scholarly journals Multiple-Membership Survival Analysis and Its Applications in Organizational Behavior and Management Research

2019 ◽  
pp. 109442811987745
Author(s):  
Hans Tierens ◽  
Nicky Dries ◽  
Mike Smet ◽  
Luc Sels
Keyword(s):  
Organizational Behavior ◽  
Large Scale ◽  
Model Building ◽  
Real Life ◽  
Hierarchical Structures ◽  
Survival Model ◽  
Survival Models ◽  
Data Set ◽  
Potential Applications ◽  
Multiple Membership

Multilevel paradigms have permeated organizational research in recent years, greatly advancing our understanding of organizational behavior and management decisions. Despite the advancements made in multilevel modeling, taking into account complex hierarchical structures in data remains challenging. This is particularly the case for models used for predicting the occurrence and timing of events and decisions—often referred to as survival models. In this study, the authors construct a multilevel survival model that takes into account subjects being nested in multiple environments—known as a multiple-membership structure. Through this article, the authors provide a step-by-step guide to building a multiple-membership survival model, illustrating each step with an application on a real-life, large-scale, archival data set. Easy-to-use R code is provided for each model-building step. The article concludes with an illustration of potential applications of the model to answer alternative research questions in the organizational behavior and management fields.

Sign in / Sign up

Export Citation Format

Share Document