scholarly journals Gestures, Embodiment, and Learning the Rate of Change

2020 ◽  
Author(s):  
Yanning Yu ◽  
David Uttal
Keyword(s):  
Undergraduate Students ◽  
Mathematics Learning ◽  
Mathematical Understanding ◽  
Rate Of Change ◽  
Embodied Knowledge ◽  
Advanced Students ◽  
Basic Calculus ◽  
Symbolic Process ◽  
Concrete Representations ◽  
Different Levels

Many researchers have stressed the embodied nature of mathematical understanding. Here we explore how embodied knowledge may evolve as students learn a basic calculus concept: the rate of change. We examined undergraduate students with different levels of calculus knowledge working in pairs to model the rate of change in an everyday phenomenon. Our findings revealed substantial differences between advanced and introductory students in how they represented the rate of change with their speech and gestures. In particular, the advanced students’ embodied representations showed alignment with the formal symbolic process of integration and reflected more advanced ways to coordinate the relation between multiple changing variables. For example, advanced students often made gestures that represented a “disk” when explaining how the rate at which water rose in a bottle was related to the change in height. Thus, both introductory and advanced students demonstrated embodied knowledge through speech and gestures, but the advanced students constructed different concrete representations that reflected an advancement in their embodied knowledge. Our findings are relevant to calculus education and to the study of gestures in mathematics learning.

A Mathematical Approach to Designing Insulators

2020 ◽  
pp. 244-257
Author(s):  
Kathryn Electa Pedings-Behling
Keyword(s):  
Mathematical Modeling ◽  
High School ◽  
Rate Of Change ◽  
Hot Water ◽  
Mathematical Approach ◽  
Aesthetic Value ◽  
Advanced Students ◽  
Extension Activity ◽  
The Aesthetic ◽  
Different Levels

How do we keep hot drinks hot and cold drinks cold? Companies such as Tervis, YETI, and Thermos spend their time researching and designing products around that very question. In this lesson, students will discover, through mathematical modeling, which materials provide the best insulation and be tasked with designing their own insulator. This lesson has been designed at two different levels for students from grade three through high school with an optional extension activity for more advanced students. Students will use technology to explore the rate of change of the temperature of hot water over two minutes using different insulation materials. After this exploration, students will use the data they have collected to determine the best materials for designing their own insulator. This insulator will then be judged based on the ability to keep a hot drink hot and on the aesthetic value.

A Mathematical Approach to Designing Insulators

2017 ◽  
pp. 247-259
Author(s):  
Kathryn E. Pedings-Behling
Keyword(s):  
Mathematical Modeling ◽  
High School ◽  
Rate Of Change ◽  
Hot Water ◽  
Mathematical Approach ◽  
Aesthetic Value ◽  
Advanced Students ◽  
Extension Activity ◽  
The Aesthetic ◽  
Different Levels

How do we keep hot drinks hot and cold drinks cold? Companies such as Tervis, YETI, and Thermos spend their time researching and designing products around that very question. In this lesson, students will discover, through mathematical modeling, which materials provide the best insulation and be tasked with designing their own insulator. This lesson has been designed at two different levels for students from grade three through high school with an optional extension activity for more advanced students. Students will use technology to explore the rate of change of the temperature of hot water over two minutes using different insulation materials. After this exploration, students will use the data they have collected to determine the best materials for designing their own insulator. This insulator will then be judged based on the ability to keep a hot drink hot and on the aesthetic value.

scholarly journals Motivation and Autonomy in Learning English as Foreign Language: A Case Study of Ecuadorian College Students

2017 ◽  
Vol 10 (2) ◽  
pp. 100 ◽  
Author(s):  
Jorge Cevallos Bravo ◽  
Eder A. Intriago ◽  
Jhonny Villafuerte Holguin ◽  
Gustavo Molina Garzon ◽  
Luis Ortega Arcia
Keyword(s):  
College Students ◽  
Language Learning ◽  
Undergraduate Students ◽  
Quantitative Research ◽  
English Language ◽  
English As Foreign Language ◽  
Learning Attitudes ◽  
Correct Pronunciation ◽  
Different Levels

This quantitative research aims to examine how different levels of motivation relate to frequency of occurrence of autonomous language learning activities undertaken by undergraduate students. Eight hundred and sixty-two college students from 10 vocational training programs of a public university located in Ecuador, South America, participated in this study. Spratt’s questionnaire that regards ‘autonomy and motivation’ as a cyclical interaction in the language learning process, was updated by the researchers, adding digital education elements. The data were analyzed using the program SPSS v24.0.0 The results showed that there was a significant relationship between: the language learning stimulation generated by professors and the participants’ learning attitudes. In addition, it was determined that the most frequent language practices in which the participants showed greatest autonomy were: listening to songs in English language, worrying about the correct pronunciation, and noting down interesting words or expressions in English.

scholarly journals University students’ perception toward the use of the mother tongue in the EFL classrooms

2021 ◽  
Vol 8 (3) ◽  
pp. 1094-1110
Author(s):  
Siti Hawa ◽  
Suryani Suryani ◽  
Rini Susiani ◽  
Ema Dauyah ◽  
A. Halim Majid
Keyword(s):  
Undergraduate Students ◽  
English Proficiency ◽  
Mother Tongue ◽  
Private University ◽  
Structured Interview ◽  
Target Language ◽  
Mixed Methods Design ◽  
Intermediate Students ◽  
Advanced Students ◽  
Negative Impacts

This study identified learners’ perceptions toward using the mother tongue and analyzed the function or occasions of its use in the EFL classroom. A mixed-methods design, employing classroom observation, questionnaire, and semi-structured interview as data collection methods, was used to pursue this study. The questionnaire items gained the students’ opinion on two categories, namely: students’ preference and occasion of mother tongue use. Twenty undergraduate students who took the Speaking course at a private university in Aceh were involved as the participant of the observation and questionnaire. Meanwhile, only three of them were chosen as the interviewee. The questionnaire data were analyzed quantitatively. In contrast, the observation and interview data were analyzed qualitatively. The results indicated that the use of mother tongue brought positive and negative impacts regarding the students’ perception based on their various English proficiency levels. The low level of English proficiency and intermediate students revealed a higher preference toward the mother tongue to understand the instructions, explain unfamiliar vocabularies, and understand the differences or similarities of English pronunciation and idioms. At the same time, the advanced students indicated a negative perception of mother tongue use. They chose to avoid using their mother tongue to improve their skill through maximum exposure to English as the target language in the speaking classroom atmosphere.

scholarly journals PENERAPAN I-SPRING SUITE 8 PADA MODEL PEMBELAJARAN IMPROVE UNTUK MENINGKATKAN KEMAMPUAN PEMAHAMAN DAN PEMECAHAN MASALAH MATEMATIS PESERTA DIDIK PADA POKOK BAHASAN PROGRAM LINEAR DI TINGKAT SEKOLAH MENENGAH

Gunahumas ◽  
2020 ◽  
Vol 2 (2) ◽  
pp. 357-386
Author(s):  
Yomi Chaeroni ◽  
Nizar Alam Hamdani ◽  
Akhmad Margana ◽  
Dian Rahadian
Keyword(s):  
Problem Solving ◽  
Direct Instruction ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Understanding ◽  
Learning Models ◽  
Research Subjects ◽  
Purposive Sampling ◽  
Mathematical Problems

ABSTRAK Penelitian ini dilatarbelakangi oleh fakta bahwa kemampuan pemahaman dan kemampuan pemecahan masalah matematis merupakan salah satu kemampuan matematika tingkat tinggi yang harus dimiliki oleh setiap peserta didik. Selain itu kemampuan pemahaman dan kemampuan pemecahan masalah matematis jarang diterapkan dalam pembelajaran matematika di sekolah. Salah satu model pembelajaran yang dapat menjadi alternatif bagi pembelajaran matematika dan kemampuan pemahaman dan pemecahan masalah matematis adalah model pembelajaran IMPROVE. Penelitian ini bertujuan untuk mengetahui penerapan i-spring suite 8 pada model pembelajaran IMPROVE untuk meningkatkan kemampuan pemahaman dan pemecahan masalah matematis peserta didik. Metode penelitian yang digunakan adalah quasi eksperimen karena penelitian ini menggunakan satu kelas eksperimen dan satu kelas kontrol sebagai subyek penelitian. Cara pengambilan subjek penelitian yang digunakan adalah purposive sampling. Subjek penelitian dipilih sebanyak dua kelas dari keseluruhan peserta didik kelas XI SMA Muhammadiyah Banyuresmi tahun pelajaran 2019/2020. Dari hasil penelitian dan perhitungan statistik diperoleh kesimpulan: 1) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE; 2) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 3) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dibandingkan dengan peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 4) Tidak terdapat perbedaan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dan yang menggunakan model konvensional/direct instruction.Kata kunci: Kemampuan Pemahaman Matematis, Kemampuan Pemecahan Masalah Matematis, Model IMPROVEABSTRACT This research is motivated by the fact that the ability to understand and the ability to solve mathematical problems is one of the high-level mathematical abilities that must be possessed by every student. In addition, the ability to understand and the ability to solve mathematical problems are rarely applied in mathematics learning in schools. One learning model that can be an alternative for mathematics learning and mathematical understanding and problem solving abilities is the IMPROVE learning model. This study aims to determine the application of ispring suite 8 on the IMPROVE learning model to improve students' mathematical understanding and problem solving abilities. The research method used is quasi-experimental because this study uses one experimental class and one control class as research subjects. The method of taking the research subject used was purposive sampling. The research subjects were selected as many as two classes from all grade XI students of SMA Muhammadiyah Banyuresmi in the 2019/2020 academic year. From the results of research and statistical calculations conclusions: 1) There is an increase in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model; 2) There is an increase in the ability of understanding and solving mathematical problems of students who in learning use conventional learning models / direct instruction; 3) There is an increase in students' mathematical understanding and problem solving abilities in learning using i-spring suite 8 in the IMPROVE learning model compared to students in learning using conventional learning models / direct instruction; 4) There is no difference in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model and who use the conventional model / direct instruction.Keywords: Mathematical Understanding Ability, Mathematical Problem Solving Ability, IMPROVE Model

scholarly journals STUDYING CONDITIONS AND PROBLEMS FOR DEVELOPING MATHEMATICS LEARNING MODEL OF UNDERGRADUATE STUDENTS IN THAILAND

2021 ◽  
Vol 10 (1) ◽  
pp. 121
Author(s):  
Puchong Praekhaow ◽  
Tweesak Chidanurak ◽  
Sureerat Areeraksakul Konglok ◽  
Kritsana Sokhuma
Keyword(s):  
Problem Solving ◽  
Undergraduate Students ◽  
Mathematics Learning ◽  
Group Learning ◽  
Problem Based Learning ◽  
Learning Model ◽  
Management Model ◽  
Integrative Learning ◽  
Learning Problem ◽  
Learning Management

This research intends to study the conditions and problems of learning management in Mathematics for undergraduate students. The research problem is that students have low achievement and ability problem-solving in mathematics. The research method used is development through conducting preliminary studies and quantitative survey research, producing initial designs of integrative learning models. The results of this research were used to develop the mathematics learning model. The research was conducted over one year considering two groups. The first sample was collected from the group with 376 students studying mathematics in the academic year 2020. The second sample was collected from the group with 116 professors of public universities in Thailand. Questionnaires were used as a tool of the research. The data analysis was divided into two stages. The first stage was to analyze supporting factors with factor analysis. The second stage was to design the learning management of students and professors with regression analysis. The results have shown that the opinions of students and professors on conditions and problems of learning management can be summarized as follows: (1) The students’ arguments for corrections in the aspects were group learning and teamwork, steps of solving problems, a learning model that is real situations, and the problem-based learning, respectively. (2) The professors’ opinions for corrections in the aspects were student interaction, academic achievement, problem-based learning, and learning management model that is current situations, respectively. (3)The supporting factors for developing the learning management model that professors and students were consistent in solving problems. It was found that there were three main factors as follows; group learning, problem-based learning, and active learning. The learning management model should be developed by integrating group learning, problem-based learning, and mathematical problem-solving to enhance problem-solving and mathematics learning achievement.

Occurrence of rating distortions and ratees’ fairness perceptions per raters’ mood and affect

2016 ◽  
Vol 21 (7) ◽  
pp. 726-743 ◽  
Author(s):  
Sumrina Razzaq ◽  
Muhammad Zahid Iqbal ◽  
Malik Ikramullah ◽  
Jan-Willem van Prooijen
Keyword(s):  
Undergraduate Students ◽  
Repeated Measures ◽  
Content Type ◽  
Fairness Perceptions ◽  
Repeated Measures Analysis ◽  
Negotiation Performance ◽  
Fairness Theory ◽  
Affect Infusion Model ◽  
Analyse Data ◽  
Different Levels

Purpose The purpose of this paper is to investigate the occurrence of rating distortions under raters’ different mood conditions and at different levels of interpersonal affect of raters towards ratees, and further its association with ratees’ perceptions of distributive and interpersonal fairness. Design/methodology/approach For the scenario-based experiment, the study recruited 110 undergraduate students as participants. Of them, 22 raters appraised the video-taped buyer-seller negotiation performance of 88 ratees. Repeated measures analysis was employed to analyse data. Findings Results revealed that under different mood conditions (pleasant and sad) and at different levels of interpersonal affect towards ratees (high and low), raters distorted ratings (inflated and deflated, respectively). These rating distortions shaped ratees fairness perceptions in such a way that ratees who received inflated ratings due to raters’ pleasant mood and high interpersonal affect perceived more distributive and interpersonal fairness than ratees who received deflated ratings due to raters’ sad mood and low interpersonal affect. Originality/value The paper is a step towards integrating the affect infusion model with distributive and interpersonal fairness theory. This integration can be of value for enhancing our understanding of how rater-centric rating errors take place, which subsequently shape ratees’ fairness perceptions.

scholarly journals The construction of a normative instrument for the measurement of moral reasoning

2001 ◽  
Vol 27 (3) ◽  
Author(s):  
J. C. White ◽  
A. Crafford ◽  
J. M. Schepers
Keyword(s):  
Factor Analysis ◽  
Moral Reasoning ◽  
Personnel Management ◽  
Undergraduate Students ◽  
Item Analysis ◽  
Industrial Psychology ◽  
Different Levels

The main aim of this study was to construct a normative instrument for the measurement of different levels of moral reasoning.The sample comprised 426 undergraduate students in Industrial Psychology and Personnel Management from two Afrikaans speaking universities. A questionnaire was developed to measure different levels of moral reasoning on a normative scale. A factor analysis on 90 items yielded two factors.These factors were interpreted as principled moral reasoning and prescriptive moral reasoning.The two scales were subjected to an item analysis and yielded reliability coeficients of 0,936 and 0,937.The implications of these findings are discussed. Opsomming Die hoofdoel van die studie was om’n normatiewe meetinstrument te konstrueer vir die meting van verskillende vlakke van morele redenering. Die steekproef het uit 426 voorgraadse students in Bedryfsielkunde en Personeelbestuur aan twee Afrikaanstalige universiteite bestaan. ’n Normatiewe skaal is ontwikkel om verskillende vlakke van morele redenering temeet.’n Faktorontleding van die 90 items in die skaal het twee faktore tot gevolg gehad, naamlik principiele morele redenering en voorskriftelikemorele redenering. Die skale is vervolgens aan’n itemontleding onderwerp en het betroubaarhede van 0,936 en 0,947, onderskeidelik, opgelewer. Die implikasies van die bevindinge word bespreek.

Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology

2000 ◽  
Vol 93 (2) ◽  
pp. 144-147
Author(s):  
Gina M. Foletta ◽  
David B. Leep
Keyword(s):  
Secondary School ◽  
Secondary School Students ◽  
Mathematical Reasoning ◽  
Mathematical Understanding ◽  
Reform Initiatives ◽  
School Students ◽  
And Mathematics ◽  
Different Levels

This article evolved as an extension of a lesson created in 1995 as part of the Kentucky Partnership for Reform Initiatives in Science and Mathematics (PRISM). We intended to work with quadrilaterals in general on our original lesson, but we thought that such a lesson might be too difficult for many students. Hence, we designed the original lesson to engage secondary school students in an investigation of the nature of isoperimetric parallelograms, that is, parallellograms with the same perimeter. We wanted the lesson to be appropriate for students at different levels of mathematical understanding.

Using a Hydraulically Balanced Beam System in Control Education

1997 ◽  
Vol 119 (4) ◽  
pp. 815-819 ◽  
Author(s):  
Pai-Hsueh Yang ◽  
Mark Lemkin ◽  
David M. Auslander
Keyword(s):  
Low Cost ◽  
Control Algorithms ◽  
Balance Beam ◽  
System A ◽  
Advanced Students ◽  
Ideal Tool ◽  
Control Education ◽  
And Control ◽  
Different Levels ◽  
Control Implementation

This paper discusses a low cost solution to teaching controls in the laboratory through the use of a novel balance beam. The balance beam provides a vehicle to study many aspects of both control implementation and control algorithms. Due to the complexity of the system, a full semester of laboratory exercises is provided for even advanced students. The flexibility of the system provides challenging exercises for different levels of education. A low overall cost translates to accessibility to more schools. The ability to achieve good tracking performance with a simple cascaded loop controller makes this an ideal tool for teaching controls in a laboratory setting.

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