Premium Essay

Basic Mathematical Skills In Mathematics

Submitted By
Words 1429
Pages 6
Basic Mathematical skills are considered as one of the foundations in mathematics. Understanding the concepts of four fundamental operations – addition, subtraction, multiplication and division of integers will keep the learners confident to step up to higher math but keeps returning to the basic mathematical concepts since K to 12 curriculum is a spiral progression. These operations are also known as arithmetic, the Do-Re-Mi of Mathematics (Byrce, 2016).
One of the learners’ gaps who enter in high school has difficulty in their basic mathematical skills and concepts especially in four fundamental operations of integers. Mathematics is commonly identified as one of the most difficult subjects encountered by learners in schools and adults
…show more content…
In the study of Hetland (2000), Graziano, Peterson & Shaw (1999) found out that using music in teaching mathematics as a tool for learning, enjoying and retaining information. Using song-sided instruction in teaching four fundamentals operation of integers will set the mood of the learners and on the same time learning the concepts and apply the skills that are taught. In the study of Johnson and Edelson (2003), Wright (2009), Courey et.al., (2012), Still and Bobis, (2005), Tuazon (2015) showed that integrating music in mathematics is effective teaching strategy to help the learners develop greater understanding of concepts inherent across disciplines. In supports of Tuazon’s finding, Capraro (2013) found out that “music math interdisciplinary lesson had a positive effect on multiple mathematical ability areas”. In the study of Byrce (2016) show that using “music elements in teaching mathematics helps the learners to better understand the mathematical concepts and the lack of activities that will draw deep connection between music and math”.
Integration of music in standard mathematics interdisciplinary class had optimistic effects on multiple mathematical abilities of the learners An, Capraro, Tillman (2013). It will not only improves learners attitude toward learning mathematics by teaching it in a meaningful and appealing context
…show more content…
According to Jean Piaget’s learning theory (1952), children are active learners who master concepts by progressing through three levels of knowledge; concrete, pictorial, and abstract. Therefore, the use of manipulatives will allow the learners to explore concepts at first and then building understanding and internalizing mathematics processes and procedures. Through the use of concrete manipulatives in teaching mathematics, conceptual understanding can be develop and provide a strong foundation for learners mastering mathematical concepts.
The concrete manipulative that will be used in this study is the tile spacers. Tile Spacers is a concrete manipulative device and are little rubbery “positive (+) and negative (-) shaped”. Positive tiles have a value of +1 and negative tiles have a value of -1. A neutral pair consisting of one positive tile and one negative tile has a value of zero. A neutral field consists of many neutral pairs Tallman

Similar Documents

Free Essay

Mtap

...“THE EFFECTS OF DEPED MTAP PROGRAM TO REGIONAL SCIENCE HIGH SCHOOL FOR FIRST YEAR SCTION AMETHYST” A Research Project presented to Ms. Loreta Figueroa In Partial Fulfilment of Requirement In Research I (Technical Writing with Basic Statistics) By Ellah Kim D. Reyes April 2011 “THE EFFECTS OF DEPED MTAP PROGRAM TO REGIONAL SCIENCE HIGH SCHOOL III FOR FIRST YEAR SECTION AMETHYST” By Ellah Kim D. Reyes Regional Science High School III April 2011 ACCEPTANCE AND APPROVAL This Research paper entitled, “THE EFFECTS OF DEPED MTAP PROGRAM TO REGIONAL SCIENCE HIGH SCHOOL III FOR FIRST YEAR SECTION AMETHYST”, in partial fulfilment of the requirements in Research I (Technical Writing with Basic Statistics) is here by prepared and submitted. Ellah Kim D. Reyes Researcher __________________________________________________________________ ACCEPTANCE AND APPROVAL, in partial fulfilment of the requirement in Research I (Technical Writing with Basic Statistics). Ms. Loreta Figueroa Research Adviser April 2011 ACKNOWLEDGEMENT First of all, to God be the glory, a grateful thanks to Him. For all the wisdom and knowledge that He has given to me. And also thank you, for giving e the strength and health to do this project work until it done. Not forgotten to my family for providing everything, such as money, to buy anything that are related to this project work and their advice, which is the most needed for this project. Internet, books, computers...

Words: 1700 - Pages: 7

Premium Essay

Public Fiscal Administration

...SAINSAB ISSN 1511 5267 Vol. 17, 2014, pp 12-11 Effective Solutions in the Implementation of the K to12 Mathematics Curriculum Melanie T. Braza Sweden S. Supapo West Visayas State University College of Education La Paz, Iloilo City, Philippines brazamelanie@gmail.com swedensupaposobrevega@gmail.com ABSTRACT This study was an attempt to find out the problems and solutions of one rural grade 7 teacher in a Philippine public high school in the implementation of K to 12 Mathematics curriculum. It is believed that knowledge is constructed when learners are able to draw ideas from their own experiences and connects them to new ideas while cooperative learning puts premium on active learning achieved by working with fellow learners as they all engage in a shared task. There were three main problem categories/themes including administrativerelated, teacher-related and student-related. The findings include: (a) lack of trainings, seminars, unclear standard operating procedures, (b) late arrival and lack of modules, (c) developing/weak teaching skills and strategies, (d) teacher’s difficulty in teaching the subjects or contents, (e)lack of time to tackle the content efficiently, (f) unavailability or lack of instructional materials, (g) non-mastery of the basic concepts and skills, (h) poor problem solving and critical thinking skills (i) indifferent student behaviour. The solutions are sharing of modules or guides, conducting cooperative learning class,...

Words: 4744 - Pages: 19

Premium Essay

Art of Conversation

...Nine Ways How do we help floundering students who lack basic math concepts? Marilyn Burns aul, a 4th grader, was struggling to learn multiplication. Paul’s teacher was concerned that he typically worked very slowly in math and “didn’t get much done.” I agreed to see whether I could figure out the nature of Paul’s difficulty. Here’s how our conversation began: P MARILYN: Can you tell me something you know about multiplication? PAUL: [Thinks, then responds] 6 x 8 is 48. MARILYN: Do you know how much 6 x 9 is? PAUL: I don’t know that one. I didn’t learn it yet. MARILYN: Can you figure it out some way? PAUL: [Sits silently for a moment and then shakes his head.] MARILYN: How did you learn 6 x 8? PAUL: [Brightens and grins] It’s easy—goin’ fishing, got no bait, 6 x 8 is 48. connects to addition. Paul wasn’t the only student in this class who was floundering. Through talking with teachers and drawing on my own teaching experience, I’ve realized that in every class a handful of students are at serious risk of failure in mathematics and aren’t being adequately served by the instruction offered. What should we do for such students? Grappling with Interventions My exchange with Paul reminded me of three issues that are essential to teaching mathematics: I It’s important to help students make connections among mathematical ideas so they do not see these ideas as disconnected facts. (Paul saw each multiplication fact as a separate piece of information to memorize.) I It’s important to...

Words: 3526 - Pages: 15

Premium Essay

Malaysia

...CURRICULUM Form Three Mathematics Curriculum Development Division October 2003 TABLE OF CONTENTS About this Draft i Foreword – A Note to Teachers iii Acknowledgements v PART ONE Introduction 1- 1 The Curriculum Underpinnings 1- 2 Philosophy of Education 1- 3 The Goals of Education 1- 5 The Essential Learning Outcomes 1- 6 The Curriculum Design and Development Process 1-11 PART TWO - CURRICULUM CONTENT Vision Statement 2- 2 Rationale for the Teaching and Learning of Mathematics 2- 3 Goals of the Mathematics Curriculum 2- 4 General Intended Outcomes For Forms I, II, and III. 2- 5 Connections to Other Core Curriculum Areas 2- 6 Framework for Mathematics for Forms I, II and III 2- 9 A General Curriculum Framework 2-11 Course Outline for Form III 2-12 PART THREE - STRATEGIES/METHODOLOGIES Teaching and Learning Strategies 3- 2 Suggested Activities 3- 6 Suggested Resources 3-15 PART FOUR - EVALUATION Elaboration of Assessment and Evaluation 4- 2 Evaluation Tools and Strategies 4- 5 Cross-referencing to Teachers’ Guide 4- 7 BIBLIOGRAPHY 4- 9 ___________________________________ i ABOUT THIS DRAFT Under the umbrella of the Secondary Education Modernization Programme (SEMP), since the latter part of 1999, new secondary school curricula in eight (8) subjects – Language Arts (English), Science, Mathematics, Social......

Words: 8704 - Pages: 35

Premium Essay

Research

...Mathematics Syllabus Primary © Copyright 2006 Curriculum Planning and Development Division. This publication is not for sale. All rights reserved. No part of this publication may be reproduced without the prior permission of the Ministry of Education, Singapore. Year of implementation: from 2007 Ministry of Education SINGAPORE 1 FOREWORD The 2007 Primary Mathematics syllabus reflects the recent developments and trends in mathematics education. The revised syllabus continues to emphasise conceptual understanding, skill proficiencies and thinking skills in the teaching and learning of mathematics. These components are integral to the development of mathematical problem solving ability. Emphasis is also given to reasoning, applications, and use of technology. Advances in technology have changed the way we teach and learn mathematics. The computer and hand-held calculator, for example, offer great potential to enhance the teaching and learning of mathematics. Students will have opportunities to discover, reason and communicate mathematics. They will engage in stimulating discussions and activities where they can explore possibilities and make connections. These qualitative changes require a change in the teaching and learning approaches; incorporating activity-based and learnercentred methodologies. The syllabuses are conceptualised after extensive consultation with teachers. We hope that teachers will find the document useful and continue to provide us with valuable feedback...

Words: 7921 - Pages: 32

Free Essay

Mathematics: an Integral Discipline

...Mathematics: An Integral Discipline Mathematics is one of the most foundational and elemental principles and disciplines to any educational institution. With the basic components of all mathematical disciplines and areas of studies being equal, there appears to be an inherent, social need to master this study of a seemingly complex nature, particularly since this subject is ingrained into so many important and relevant aspects of the world economy. Without the understanding and overall comprehension of at least some basic, elementary mathematical principles, it would go without saying that countless workforce employees and job seekers would fail to find the most meager of professions. It is also an unfortunate prospect to understand that mathematical principles and the study of such major applications is no longer a popular social trend. On the other hand of the social and professional spectrum, the vast majority of college students seeking future majors are leaning towards other convenient modes of study, including those in the healthcare industry and other related sciences and studies. Now understanding how modern culture had become so predisposed to ascertaining studies unrelated to heavy mathematical analytics, despite the obvious need to otherwise acquire, it will be important to frame this expose’s subject matter around the need to further explain and analyze how different regions of scholastic establishments have come to define mathematical disciplines in completely......

Words: 2559 - Pages: 11

Free Essay

Everyday Mathematics

...Everyday Mathematics Teaching Math to Young Children Spring 2010 Ashley Dismukes I feel that this quote from Richard Wertheimer defines mathematics as well as describes how the majority of people view the subject, “Mathematics, the science studied and practiced by mathematicians, is a language that quantifies the world around us. In its applied form, it is used by workers in most walks of life. Unfortunately, most people see mathematics as cold, abstract, difficult and beyond their reach” (Post Gazette, 2002). Due to these feelings educators, administrators, and researchers are constantly working to develop new and improved ways to teach students mathematics. As a result there are many theories and curriculum sets available; one being Everyday Mathematics. When one enters the teaching field they will become acutely aware of just how many curriculums are available to teach each subject. The school where you are employed will most likely have adopted a curriculum that they feel best suits their needs and the needs of their students. As a teacher it will be your responsibility to teach to and with the curriculum. Everyday Mathematics is a curriculum that is used across the country (Wright Group, 2010) with more than 3 million students. It is “a rigorous PreK-6 curriculum” (Wright Group, 2010) that is “scientifically research-based and proven to build students’ mathematical knowledge from the basics to higher-order thinking and critical problem solving” (Wright......

Words: 807 - Pages: 4

Premium Essay

Mathematics and Management

...LONDON'S GLOBAL UNIVERSITY Mathematics with Management Studies BSc UCAS code: G1N2 www.ucl.ac.uk/prospectus/maths MATHEMATICS WITH MANAGEMENT STUDIES BSc This BSc combines a broad-based training in mathematics with highly practical courses from UCL’s Department of Management Science and Innovation, which will be of direct use to those seeking a career in management. No previous knowledge of management studies is required. Degree summary • • • • Gain transferable skills such as numeracy, problem-solving and logical thinking, which can lead to a large variety of interesting, diverse and well-paid careers. All of the courses given by UCL's Department of Management Science are validated by external experts from the private, public and charitable sectors. Many of our graduates choose to build their management knowledge and experience by following a further management qualification, such as the MBA (Masters in Business Administration). UCL's internationally renowned Mathematics Department is home to world-leading researchers in a wide range of fields, especially geometry, spectral theory, number theory, fluid dynamics and mathematical modelling. Peer Assisted Learning has been pioneered in the department, with second-year students offering support and advice to first years. Your career We aim to develop your skills in mathematical reasoning, problem-solving and accurate mathematical manipulation. You will also learn to handle abstract concepts and to think......

Words: 1320 - Pages: 6

Free Essay

Learning and Earning: Working in College

...Introduction Mathematics is defined as the science of numbers in all their relations and applications. It has evolved from elemental practices of counting, measuring and describing the shapes of objects. Mathematics also deals with logical reasoning and quantitative calculation which primarily involved Natural numbers (Brittanica Micropedia, vol.7, Encyclopedia). Basic calculations used the four fundamental operations namely addition, subtraction, multiplication and division. Other than the most basic concepts of math, these operations are encountered in everyday situation. Despite the reality that math is integrated in our lives, a student sees mathematics as the hardest subject he/she encounters in school. Sometimes, finding ways to keep math practice fun can be a challenge.... Using games to teach math concepts and reinforce basic math skills is a fun way to incorporate repetitive practice into your homework routine (Elizabeth Wistrom, January 2011). According to an article of Jenni Way (November 1999), “We all know that children enjoy playing games. Experience tells us that games can be very productive learning activities.” Thus, board game can be incorporated as part of math class activity. When considering the use of games for teaching mathematics, educators should distinguish between an 'activity' and a 'game'. Gough (1999) states that "A 'game' needs to have two or more players, who take turns, each competing to achieve a 'winning' situation of......

Words: 493 - Pages: 2

Premium Essay

Mathematics and Visuality

...Running Head: MATHEMATICS and VISUALITY Mathematics and Visuality By: Monica McCarty Jackson State University Mathematics is one of the most useful and fascinating divisions of human knowledge. It includes many topics of study. For this reason, the term mathematics is difficult to define. It comes from a Greek word meaning “inclined to learn.” Most of the basic math taught in school involves the study of number, quantity, form, and relations. Arithmetic, for example, concerns problems with numbers. Algebra involves solving equations in which letters represent unknown quantities. Geometry concerns the properties and relationships of figures in space. The most important skills in mathematics are careful analysis and clear reasoning. These skills can help us solve some of the deepest puzzles we must face. Mathematics is based upon logic. Starting from, widely accepted statements, Mathematicians use logic to draw conclusions and develop mathematical systems. The work of mathematicians may be divided into pure mathematics and applied mathematics. Pure mathematics seeks to advance mathematical knowledge for its own sake rather than for any immediate practical use. Applied mathematics seek to develop mathematical techniques for use in science and other fields. In everyday life we use mathematics for simple tasks as telling time from a clock or counting change after making a......

Words: 346 - Pages: 2

Free Essay

Reading

...5 Reading, Writing, and Speaking in Mathematics As teachers of mathematics, we sometimes forget that the words and phrases that are familiar to us are foreign to our students. Students need to master this language if they are to read, under­ stand, and discuss mathematical ideas. -Thompson & Rubenstein Thompson and Rubenstein were referring to the issue of language and mathematics learning in mainstream classrooms. They state vocabulary or the fluent use of terminology is a necessary condition for overall mathematics achievement. If the learning of mathematics is highly dependent on its language and the teaching of math vocabulary is crucial, it is doubly so for ELLs. English language learners in secondary schools should have many opportunities to communicate their mathematical ideas and questions. Talking and writing about their mathematical thinking helps ELLs build word knowledge and oral expression and clarify their thinking. Discussions with the teacher or peers are also useful monitoring tools for teachers. Through listening and recording student conversations and peer problem solving, teachers can monitor individual student progress. Mathematics is no longer viewed as isolated, individualistic, or competitive. Mathematics problems are ideally suited to cooperative group discussions because they have solutions that can be objectively demonstrated. Students can persuade one another by the logic of their arguments. Mathematics problems can often be solved by......

Words: 3416 - Pages: 14

Premium Essay

Metacognitive

...Metacognitive Aspect of mathematics Problem Solving Hwa Tee Yong and Lau Ngee Kiong MARA University of Technology Malaysia Abstract If students are to excel on both the routine mathematics skills and the problem-solving skills, teachers must place emphasis on both the mathematical contents and the mathematical processes in the teaching and learning of mathematics. This paper presents the theoretical rationale and the importance of metacognition to the learning of mathematics. A project was conducted on students of around sixteen years of age and the findings indicated that students did employ the four phases of problem solving emphasized by George Polya. However, students fared better when they regulated their thinking process or employed metacognitive skills in the process of solving mathematics problems. This paper also suggests the strength of a mixed methodology in doing research by expanding an understanding from one methodology to another, and converging findings from different data sources. Introduction Twenty-first century mathematics education is about facing novel real-world problems, nurturing creative thinking skills and cultivating productive ways of learning. In attempting to innovate teaching and learning in order to prepare a new generation for the demands of this new era, many educators have discovered the value of metacognition. Mathematics is always one of the difficult subjects for school students. Von Glaserfeld (1995)......

Words: 3069 - Pages: 13

Free Essay

K-12 Math Curriculum

...The Changing Mathematics Curriculum: An Annotated Bibliography Third Edition April 2005 1 2 The K–12 Mathematics Curriculum Center The K–12 Mathematics Curriculum Center (K–12 MCC) supports school districts as they build effective mathematics education programs using curricula that align with the National Council of Teachers of Mathematics’ (NCTM) Curriculum and Evaluation Standards for School Mathematics (1989) and Principles and Standards for School Mathematics (2000). The K–12 MCC offers a variety of products and services to assist mathematics teachers and administrators. Our seminars address selecting and implementing new curricula, designing professional development and support, aligning curriculum with assessment, and examining leadership in curricular change. Our other resources include: About This Publication This publication, an annotated bibliography of articles relevant to Standards-based mathematics curriculum reform, is intended as a resource for educators and communities considering the selection and implementation of a Standards-based mathematics curriculum. It also may assist individuals who are interested in learning about the student achievement, classroom practices, and implementation challenges associated with the use of Standards-based materials. When gathering resources for this publication, the K–12 Mathematics Curriculum Center staff reviewed articles that either addressed important issues in mathematics curriculum change or shared......

Words: 26387 - Pages: 106

Free Essay

Fraternity

...Teachers as Curriculum Leaders Introduction: For the purpose of this assignment, the syllabus under consideration is the mathematics syllabus and the outcome that is to be discussed shall be the level 3 outcome for topic N 3.2. This outcome shall take in consideration the students’ ability to add and subtract numbers that are either whole or in fraction. This is related to a problem solving scenario where the students are not just given the numbers to work on but they are given a word problem that they would have to interpret and then solve in order to understand how the rules of addition and subtraction would work in the real life situations. This paper shall take a look at this outcome in terms of the various conceptions of the curriculum that Eisner and Vallance have laid out in their paper entitled “Five Conceptions of Curriculum: Their Roots and Implications for Curriculum Planning.” Keeping this in mind, it is vital for us to understand that even though it is the children that present us with the outcome of a curriculum, it is the teachers’ job to lead them to it. It is thus very important for the teachers to be professional and that they undergo specific professional development programs. Conceptions of Curriculum 1. The cognitive process approach to curriculum: a. Pedagogy In this regard, the teachers would need to focus on ‘how’ to teach the students instead of what they are teaching. With respect to our outcome, it is imperative that the teacher......

Words: 3315 - Pages: 14

Premium Essay

Thesis

...FACTORS AFFECTING MATHEMATICS PERFORMANCE OF GRADE-10 STUDENTS AT MALVAR NATIONAL HIGHSCHOOL S.Y. 2015-2016 A Research Proposal Presented to the Malvar National High School Malvar, Batangas In Partial Fulfillment Of the Requirements for Grade 10- Mathematics By: Elwin Grace Pillarda Ellaine Joyce Villegas Maureen Vanguardia Allysa Jane Soriano Sarah Jane Lagrana Dhanna Carandang Ritchie Anne Buli Cairrine Pedraja Lara Sophia Cea Nicole Castillo Leah Valencia CHAPTER 1 THE PROBLEM AND ITS BACKGROUND Introduction Since 2012, K-12 program has already started. Philippine’s Basic Education has been enhanced and now, 12 years of education is required. There were some adjustments made. And now, teachers, parents & students need to participate well in in this changes. We live in a mathematical world. Whenever we decide on a purchase, choose an insurance or health plan, or use a spreadsheet, we rely on mathematical understanding. The World Wide Web, CD-ROMs, and other media disseminate vast quantities of quantitative information. The level of mathematical thinking and problem solving needed in the workplace has increased dramatically. In such a world, those who understand and can do mathematics will have opportunities that others do not. Mathematical competence opens doors to productive futures. A lack of mathematical competence closes those doors. Students have different abilities, needs, and interests. Yet everyone needs to be......

Words: 4344 - Pages: 18