Educational research is a significant and crucial part of the M.Sc. Mathematics Education program. As part of the program itself, students are encouraged to create resources, conduct studies and present their work at relevant national and international conferences.

## Under the guidance and supervision of mentors, all students undertake original and independent research during the final semester of the program. The section below lists the dissertation titles of all batches.

## Research

## Batch 7 (2018 - 2020)

Alka

TEACHERS' PEDAGOGICAL BELIEFS IN DEVELOPING STUDENTS' MISCONCEPTIONS IN ALGEBRA

This paper elucidates the misconceptions developed by middle school students in the teaching and learning of algebraic concepts such as variables, algebraic expressions, and algebraic equations that are affected by teachers’ pedagogical beliefs. This study of literature is conducted to obtain more detailed and comprehensive knowledge of some common misconceptions that students face and the possible causes of those misconceptions. The paper unfolds some common misconceptions that arise while learning the algebraic concepts, few of them are variables, equality/inequality, bracket, an order of operations, fractions, algebraic expressions, and algebraic equations. Also, the paper divulges the effect of the role of the teacher and its pedagogy adopted to teach algebraic concepts. It appears that larger number of misconceptions arise among the students in mathematics classroom where teachers believe that pedagogy should be teacher-centered (Instructive) and adopted the methods that dominate teacher-centered approach, in contrast, the number of misconceptions is lower where teachers believe the pedagogy should be student-centered (Constructive) and adopted the methods that dominate the student-centered approach.

Manzoor Haider

MATHEMATICAL WRITING ERRORS AMONG STUDENTS

Pieces of evidence show that humans started writing mathematics around 3000 BC. However, very little attention is given to formal mathematics writing—few researchers given their attention to mathematical writing errors. Errors are essential because they are occurred due to a lack of knowledge. In this paper, the importance of mathematical writing and mathematical writing errors among students is presented. Although not enough work is done in both the fields, some studies prove that mathematical writing errors impact the learners’ ability to learn further mathematics.

## Batch 6 (2017 - 2019)

Adarsh Bhushan

ICT USE IN THE TEACHING OF MATHEMATICS IN THE SECONDARY GRADES: IMPLICATIONS AND CHALLENGES IN THE SCHOOLS

Amit Kumar

IMPACT STUDY OF MEGA PTMS ON STUDENTS, PARENTS AND TEACHERS: LEARNING AND POSITIVE OUTCOMES

Apoorva Mishra

STRATEGIES USED BY SCHOOL TEACHERS IN DELHI TO COMPLETE THE SYLLABUS IN MATHEMATICS: AN EXPLORATORY STUDY

Apoorva Verma

COALESCING SUSTAINABLE DEVELOPMENT GOALS IN MATHEMATICS CLASSROOMS USING THEME-BASED LEARNING

Mansi Gill

EVALUATING GRADE 8 STUDENTS' ALGEBRA READINESS

Neeraj Kumar

IMPACT OF MATHEMATICS TEACHER’S QUESTIONING SKILLS ON THE STUDENTS LEARNING IN THE CLASSROOM

Nitesh

AN INVESTIGATION OF DIFFERENCE OF ALGEBRA BY TRADITIONAL METHOD AND ICT DEVICES TO A GROUP OF STUDENTS WHILE INTRODUCING A TOPIC

Rizwan

IMPACT OF STUDENT’S LEARNING SURROUNDINGS SCHOLARLY PERFORMANCE

Pankaj Singh Rana

IMPACT OF SPORTS ACTIVITIES ON STUDENTS ACADEMIC PERFORMANCE

Sara

EFFECTIVENESS OF TEACHING GEOMETRY THROUGH E-LEARNING

A classroom that is ICT enabled is said to be an effective classroom in teaching and learning process. In many researches it is found that student learn and understand better when they are taught through ICT equipment‟s and for teachers also it becomes easy to teach abstract concepts to primary as well as senior secondary classes and specially a subject like mathematics, since in mathematics many concepts are abstract and to learn them becomes hard for students specially geometry. According to Van Hiele theory there are levels of understanding geometry such as visual, Descriptive/Analytic, Abstract/Relational, Formal Deduction, Rigor/Meta-mathematical the learners learn geometry through these levels. The textbook‟s of mathematics only focuses on calculating and using formulas and not enough on analyzing and investigating figures. Presently many developed countries teach geometry through e-learning software‟s such as Geogebra, Desmos, Geometer‟s Sketch pad, Maxima, Matlab, Mathematica, in which dynamic worksheets are also available for learners. This paper emphasizes the effectiveness of teaching geometry with the help of e-learning through a comparison between conventional and ICT embedded mathematics classroom. This will be conducted through an experiment on secondary grade students of grade VIII on learning quadrilaterals.

Satyendra Joshi

STUDYING CLASSROOM INTERACTIONS IN GOVERNMENT SCHOOL OF DELHI USING FLANDERS’S INTERACTION ANALYSIS

Education can be seen as a set of activities that the teacher and the learner participates in through interactions. In the daily classroom interactions takes place and is the reason that teacher is able to share his knowledge regarding the subject. This interaction is usually used to direct their ideas together. This learning and teaching process is important for generations to survive as the foundations of our future are laid down by the education we provide to our young ones. But due to the conventional learning practices taking place and lack of new techniques of teaching and learning, we are at the risk of providing our future generation with poor mathematical aptitude and base. This paper reports on a study of classroom interaction and discourse in a government school of Delhi, India. Delhi being the capital of our country, if shows ways to better learning outcomes among mathematics students, can set an example for others to lead on to. In this study a classroom interaction is studied from the mathematics classroom of government school of Delhi. The research was carried out to get a look into the classroom interactions and understand them better in order to find solutions of proper teaching techniques to improve learning.

## Batch 5 (2016 - 2018)

Aman Qureshi

VISUALIZING BASIC CONCEPT OF ALGEBRA THROUGH GEOGEBRA

Nidhi

AN EXPLORATORY STUDY ON THE AFFECT OF PARENTS DIRECT INVOLVEMENT IN CHILD'S LEARNING ACHIEVEMENT

Shafiq Ur Rehman

AUGMENTING CLASSROOM ENGAGEMENT WITH THE EMPLOYMENT OF ICT BASED INNOVATIVE PEDAGOGY

Sanjay Raghav

PARTICIPATORY FRAMEWORK FOR DEVELOPING TEACHER TRAINING PROGRAM FOR PRIMARY AND PREPRIMARY MATH TEACHERS AN ACTION RESEARCH

Atul Kumar

DEVELOPING HIGHER ORDER THINKING SKILLS IN MATHEMATICS CLASSROOM THROUGH REFLECTIVE TEACHING

Ishmannan Kaur

IMPACT OF TRAINING MIDDLE GRADE MATHEMATICS TEACHERS TO USE GOOGLE APPLICATIONS IN THE CLASSROOM

Ruth Sebastian

OUTLINING STUDENTS’ MISCONCEPTIONS IN ALGEBRA AND DEVELOPING REMEDIAL STRATEGIES

Shilpa Goel

INTEGRATING SUSTAINABLE DEVELOPMENT GOALS IN TEACHING MATHEMATICS USING PROJECT-BASED LEARNING

Anjali

IMPACT OF CHANGE IN LEARNING METHODS ON PERFORMANCE OF STUDENTS IN INTERNATIONAL ASSESSMENT TEST PISA

Kartik Bhasin

A STUDY TO CHECK THE EFFECTIVENESS OF INNOVATIVE MATHEMATICAL RESOURCES ON NUMERACY AMONG UNDERPRIVILEGED CHILDREN

Kapil

COOPERATIVE LEARNING STRATEGY IN MATHEMATICS AT MIDDLE GRADE LEVEL

Imran Ahmad

A STUDY OF EFFICACY OF CONCEPTUAL MATHEMATICS DICTIONARY IN THE LEARNING OF MATHEMATICS AMONG SCHOOL STUDENTS

Sheel Pragy

A STUDY ON THE EFFICACY OF EXPENDITURE ON FIXED AND VARIABLE ASSETS OF SCHOOLS ON THE LEARNING OUTCOMES OF STUDENTS STUDYING IN DELHI GOVERNMENT SCHOOLS

Mohd Shadab

IMPLEMENTING INTERVENTION PLAN FOR PROBLEM FACED BY VISUALLY IMPAIRED STUDENT IN LINE AND ANGLE

Nitin Kumar Madeshia

DESIGN, COMPONENT AND PEDAGOGY OF DIGITAL INTERACTIVE MATH BOOK

Yusra Rehmani

USE OF MULTIHEXISATION (A MATHEMATICAL BOARD GAME) TO STRENGTHEN THE CONCEPT OF FACTORS, MULTIPLES, AND DIVISIBILITY TEST

Sagar Jain

ANALYSIS OF ERRORS AND MISCONCEPTIONS IN RELATIONS AND FUNCTIONS IN HIGH SCHOOL STUDENTS’

## Batch 4 (2015 - 2017)

Akash Kumar Saini

UNDERSTANDING ALGEBRA THROUGH VISUALIZATION

Himanshu Ghodeshwar

EVALUATING MINIMUM LEARNING LEVEL IN MATHEMATICS AT THE EXIST LEVEL IN GRADE VIII

Jahangir

ANALYSIS OF CHUNAUTI-2018, CHALLENGES AND IMPACTS IN REAL SETTING

Namrata Nigam

CLASSIFICATION OF MATHEMATICAL ERRORS DONE BY STUDENTS IN ELEMENTARY GRADES

Preeti Chaudhary

ASSESSMENT OF MATHEMATICAL APTITUDE OF STUDENTS IN ELEMENTARY GRADE

Priyankesh Dixit

IMPACT OF DIGITAL STORYBOARD IN LEARNING MATHEMATICS OF STUDENTS OF CLASS 5th

This study aims to investigate the impact of the digital storyboard in learning mathematics of class 5th students. An intervention was designed to see the effectiveness of using digital storyboard strategy in the enhancement of learning mathematics and its pedagogical feasibility in the classroom. For the intervention digital story titled “An Encounter with Pby2” was used which was based on Fraction. A true experimental research design was adopted by the researcher in which researcher took two group of class 5th of the same level one as a controlled group and other as an experimental group for the study. The data collection tools used was digital storyboard and the post-assessment worksheets based on the topic Fraction on a sample of 38 students in each group. A quantitative analysis of the post intervention data was undertaken in order to check the impact of the digital storyboard in learning mathematics. The study concludes that use of digital storyboard had a positive impact on their learning of mathematics. The study suggests that digital storyboard is an effective pedagogical tool which plays a significant role in enhancing the mathematics teaching and learning outcomes. It also recommends for further research on mathematics’ learning using digital storyboard.

Rabia Malik

DEVELOPING STUDENTS’ MATHEMATICAL LEARNING PROFILE TEMPLATE FOR COMPREHENSIVE ASSESSMENT

Raja Pandit

EFFECTIVENESS OF THEME BASED EDUCATIONAL PICTURE-BOOK IN MATHEMATICS CLASSROOM

Robin Sharma

A STUDY OF EFFICACY OF HANDS-ON APPROACH ON LEARNING OF LINEAR ALGEBRA AMONG UNDERGRADUATE STUDENTS

The purpose of this study was to evaluate the effectiveness of hands-on tools on the mathematics performance of undergraduate university students in linear algebra. A set of the self-developed hands-on tool was used to teach the topic of linear transformations to 32 students from undergraduate courses. The study employed a single group experimental design. Participants willingly participated in the study and an overall enthusiasm was observed from them towards the treatment. Concrete tools proved to be engaging by providing physical experiences and helped learners handle and switch between geometrical and algebraic representations of mathematical forms. The overall results indicated that the hands-on tools used in this study were effective teaching-learning tools to improve participants' mathematics skills in linear transformations.

Ruchi Goel

STUDENTS’ PERCEPTION OF THEIR UNDERSTANDING OF MATHEMATICS

Sana Ahmed

MINIMUM LEVEL OF LEARNING AFTER Vth GRADE

Sourabh Garg

ENHANCING STUDENTS’ ENGAGEMENT IN LEARNING AFTER SCHOOL

Tarun Aggarwal

USING GEOGEBRA FOR TEACHING MATHEMATICS IN GRADE IX:AN EXPERIMENTAL STUDY

## Batch 3 (2014 - 2016)

Amrita

TEACHERS’ OWN UNDERSTANDING AND PRACTICE OF “MATHEMATICIAN”: A STUDY OF ELEMENTARY LEVEL MATHEMATICS TEACHERS’

Anchal

USE OF MATHEMATICAL COMMUNICATION IN FACILITATING MATHEMATICS LEARNING

Anil Kumar

EQUITY IN MATHEMATICS EDUCATION

Arushi Kapoor

DEVELOPING SEQUENTIAL-CONTINUUM PROJECTS ON NUMBER SYSTEM FOR MATH STUDENTS UPTO SECONDARY LEVEL

Number system is the foundation stone of school mathematics. Children learn different kinds of number in different grades without using any reference of numbers learned in previous grades. For strong foundation of numbers as a system it is important that children learn various kinds of numbers in relation to each other, extending the already learned concepts with the new family of numbers. Besides hierarchy, sequencing and continuity must also be maintained when it comes to teaching and learning of number concepts. For strong foundation of numbers as a system it is important that children learn various kinds of numbers in relation to each other, extending the already learned concepts with the new family of numbers. The research focused on the very nature of sequential and continuous order of mathematical concepts present in math curriculum from primary to secondary grade. An attempt was done to develop sequence of interrelated math concepts on the hierarchy of continuum. An exemplar module and conceptual framework on number system was developed based on sequential continuum principle of mathematics. The study attempted to develop projects on number system from grade three to grade ten in proper sequence and maintaining continuity as well. Nature of projects was based on hands on activities and investigatory real-life problems. The study formulated conceptual framework which brings light to the need of such projects in school curriculum.

Faizan Qadir

MAKING MEANINGFUL CONNECTIONS IN GROUP THEORY AT UNDERGRADUATE LEVEL

Gunjan Khurana

ENHANCING MATHEMATICAL VOCABULARY IN PRIMARY GRADE THROUGH STORYTELLING

Himanshi Vashishth

DEVELOPMENT PROCESS OF NEW EDUCATION POLICY ON SCHOOL EDUCATION: A REALITY CHECK

Kumar Gandharv

DIFFICULTIES FACED BY HINDI MEDIUM BOARD STUDENTS IN FIRST YEAR OF UNDERGRADUATE MATHEMATICS

The dissertation covers the difficulties faced by Hindi medium background students in undergraduate mathematics. The study was conducted to find out the difficulties faced by these students who pursue Mathematics (Honours) during their 1st year of undergraduation. The study highlights the challenges faced by these students with mathematics terminology in English, learning environment and other aspects. The study is based on the survey and interviews conducted with college teachers and students.

Maneesh Kumar Mamgai

EXPLORING GEOGEBRA AS A TOOL FOR TEACHING AND LEARNING BASICS OF CALCULUS

Mohd Junaid

FACILITATING METHODS OF SOLVING ALGEBRAIC EQUATIONS AT MIDDLE AND SECONDARY LEVEL USING VEDIC MATHEMATICS ALGORITHM

Priyanka Gupta

STRENGTHENING METACOGNITION OF MIDDLE SCHOOL STUDENTS THROUGH PROBLEM-SOLVING IN MATHEMATICS

Sandeep Yadav

DEVELOPING CARTESIAN COORDINATE PLANE MANIPULATIVE TOOLBOX FOR MATHEMATICS STUDENTS AT SCHOOL LEVEL

Sangeeta

DEVELOPING DIAGNOSTIC ASSESSMENT TOOL FOR CHILDREN WITH DYSCALCULIA BASED ON PIAGETIAN TASKS FOR PRIMARY GRADERS

Shefali Gupta

MISCONCEPTIONS IN ALGEBRA AND ITS POSSIBLE REMEDIAL STRATEGIES: STUDY OF GRADE VIII STUDENTS IN DELHI

Thanyo Lungleng

HIDDEN MATHEMATICS IN TANGKHUL TRADITION

## Batch 2 (2013 - 2015)

Abhishek

VALIDITY AND USABILITY, BASIC MATHEMATICAL KIT FOR VISUALLY IMPAIRED LEARNERS

Andleeb Zehra

COMPARATIVE STUDY BETWEEN RAJKIYA PRATIBHA VIKAS VIDYALAYAS AND SARVODAYA VIDYALAYAS WITH RESPECT TO THE MATHEMATICS ABILITIES OF LEARNERS AT MIDDLE SCHOOL LEVEL

Anurag Saini

DEVELOPING A CURRICULUM MODEL FOR SCHOOL MATHEMATICS EDUCATION AS ENVISIONED IN EDUCATIONAL REFORMS

Atul Anand

Era Kaila

Syed Shahzar

DEVELOPING SEQUENTIAL – COMPREHENSIVE KIT ON TRIGONOMETRY FOR SCHOOL MATHEMATICS’ LEARNERS

Garima Singal

STUDY OF CHANGE IN UTILITARIAN NATURE OF LEARNERS TOWARDS HIGHER MATHEMATICS

Nutan Kumar Singh

PERCEPTION OF NON-INDIAN STUDENTS ABOUT MATHEMATICS EDUCATION IN INDIA

Sakshi Bajaj

STUDY ON IMPLEMENTATION OF CONTINUOUS AND COMPREHENSIVE EVALUATION IN MATHEMATICS

Reshma Rafique

CONCEPTUAL UNDERSTANDING IN MATHEMATICS AMONG STUDENTS OF GOVERNMENT SCHOOLS AT MIDDLE LEVEL

Naim Akram

IN-DEPTH STUDY OF PROBLEMS FACED BY VISUALLY IMPAIRED LEARNERS IN LEARNING MATHEMATICS

Md. Rashid Malik

TEACHERS’ ATTITUDE AND COMPETENCY OF SMART BOARD USAGE IN MATHEMATICS TEACHING

## Batch 1 (2012 - 2014)

Ghanshyam

ANALYSIS OF REAL LIFE QUESTIONS IN ALGEBRA IN CLASS 8 AND 9 FOR SERVING HIGHER AIMS OF MATH LEARNING

Nidhi Rathi

QUESTIONS AS A TOOL IN TEACHING AND LEARNING OF MATHEMATICS

Archana

FACILITATING MATHS LEARNING USING SOCIAL MEDIA

Anuj Pradhan

DESIGNING VISUAL MEDIA TO TEACH MATHEMATICS

Rekha

UNDERSTANDING AND MISCONCEPTIONS IN QUADRATIC EQUATIONS

Roohi Amir

ENHANCING POTENTIALS OF ADVANCED LEARNERS IN MATHEMATICS- A CASE STUDY APPROACH

Chandrashekhar

PARTICIPATION OF WOMEN IN HIGHER MATHEMATICS EDUCATION

Ashwani

MATHEMATICAL ABILITY THROUGH CRICKET

Uzma

SCRIPTING MATHEMATICAL STORIES

Madhav

REGIONAL REPRESENTATION IN ELEMENTARY NCERT TEXTBOOKS

Rohit Updhyay

ROBUST MATHEMATICS ON COMMUNITY RADIO – INNOVATION IN MATHS TEACHING

Adeeba

REDESIGNING PISA IN INDIAN CONTEXT

Amit

ASSESSING LANGUAGE RELATED PROBLEM OF ALGEBRA IN UPPER PRIMARY STANDARD TO SERVE THE HIGHER AIM OF MATHS

Sneha Tyagi

A STUDY OF ATTITUDE AND APTITUDE OF MATHEMATICS IN THIRD GENDER

Surendra

EUCLID GEOMETRY AND DEVIATIONS OF SCHOOL GEOMETRY IN INDIA FROM IT