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Math 19- Research
in Mathematics
Session 2:
Research Title
Group 1:
Research Title: Problems and
Issues Affecting Bachelor of
Secondary Education major in
Mathematics Towards Learning
Calculus.
Group 2:
Research Title: Teaching Strategies
Affecting Student’s Engagement in
Mathematics in preparation to their
Academic Exit.
Group 3:
Research Title: The Effectiveness
of the Integration of Game-based
Learning Strategies to Enhanced
Mathematical Comprehension and
Students Motivation
Group 4:
Research Title: Students’ Proficiency in
Solving Mathematical Algebraic
Problems: Basis for Development of
Tutorial Program
Group 5:
Research Title: Factors Affecting
Student’s Learning in Mathematics:
Basis for the Implementation of a
Tutorial Remediation
Group 6:
Research Title: Comparing the
Effectiveness between Peer-
Tutorial and Online Tutorial in
Math.
Group 7:
Research Title: Examining the
Relationship between Students’
Mathematical Problem Solving
Skills and Teachers’ Teaching
Strategies.
Group 8:
Research Title: Impact of
Constructivist-based Mathematics
Instruction on STEM Students’
Academic Performance.
Group 9:
Research Title: Exploring the
Challenges between Mathematical
Anxiety and Performance in
Calculus.
Session 2:
Research
Questions and
Problems
1. Clarity and Specificity: Ensure that your research questions are clear, focused, and
specific. Ambiguous or vague questions can lead to confusion and make it difficult
to design and conduct your study. Clearly articulate what you aim to investigate.
2. Relevance: Make sure your research questions address important issues within
your field of study. They should contribute to advancing knowledge or addressing
gaps in existing literature.
3. Feasibility: Ensure that your research questions are feasible given your available
time, resources, and expertise. Consider the practicalities of conducting research
and make sure your questions are realistic.
Guidelines in Choosing/ Writing Good Research Questions and Problems
4. Originality
Aim for research questions that are novel and innovative. Avoid duplicating existing studies unless there is a
compelling reason to do so, such as replicating findings in a different context or population.
5. Testability
Ensure that your research questions are empirically testable. They should be amenable to investigation using
appropriate research methods and techniques.
6. Interest and Importance
Craft research questions that are intellectually stimulating and relevant to both scholars and practitioners in your
field. Consider the potential impact and implications of your research.
7. Contextualization
Situate your research questions within the broader context of existing literature and theoretical frameworks.
Demonstrate an understanding of relevant concepts, theories, and debates.
8. Simplicity
While your research questions should be specific, they should also be simple and straightforward. Avoid overly
complex or convoluted language that may confuse readers or obscure your main objectives.
9. Conciseness
Keep your research questions concise and to the point. Avoid unnecessary repetition or verbosity.
10. Alignment with Research Design
Ensure that your research questions align with your chosen research design and methodology. Consider
whether your questions are best suited to qualitative, quantitative, or mixed-methods approaches.
11. Ethical Considerations
Consider ethical implications when formulating your research questions, particularly if your study involves
human subjects. Ensure that your research is conducted in an ethical and responsible manner.
12. Revision and Iteration
Be prepared to revise and refine your research questions as you progress through the research process.
Iterative refinement is often necessary as you gather more information and insights.
9. Conciseness
Keep your research questions concise and to the point. Avoid unnecessary repetition or verbosity.
10. Alignment with Research Design
Ensure that your research questions align with your chosen research design and methodology. Consider
whether your questions are best suited to qualitative, quantitative, or mixed-methods approaches.
11. Ethical Considerations
Consider ethical implications when formulating your research questions, particularly if your study involves
human subjects. Ensure that your research is conducted in an ethical and responsible manner.
12. Revision and Iteration
Be prepared to revise and refine your research questions as you progress through the research process.
Iterative refinement is often necessary as you gather more information and insights.
Here is an example of a script for a quantitative research question describing outcomes of score for a
variable:
1. What is the frequency and variation of scores on ____________(name the variable)
for ______________(participants) in the study?
Here is an example of a script for a quantitative research question focused on examining the
relationship among variables:
1. Does _________ (name the theory) explain the relationship between _________
(independent variable) and _________ (dependent variable), controlling for the effects of _________
(mediating variable)?
Alternatively, a script for a quantitative null hypothesis might be as follows:
1. There is no significant difference between _________ (the control and experimental
groups on the independent variable) on _________ (dependent variable).
A Model for Descriptive Questions and
Hypotheses
Mixed Methods
question focused on the
intent of mixing,
to integrate the
qualitative interviews
and the quantitative
data, the relationship of
scores and
student performance.
This question
emphasized what the
integration was
attempting to
accomplish—a
comprehensive and
nuanced
understanding—and at
the end of the article,
the
authors presented
evidence answering this
question.
Writing Activity:
1. For a quantitative study, write two sets of questions. The first set
should be descriptive questions about the independent and dependent
variables in the study. The second set should pose questions that
describe and relate (or compare) the independent variable(s) with the
dependent variable(s). This follows the model presented in this chapter
for combining descriptive and inferential questions.
2. Write a mixed methods research question. Write the question to
include both the methods of a study as well as the content.
Prepared:
CRISTY M. JABONILLO EdD
Part Time Instructor

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9-Session-2_Research-in-Mathematics_Unit-1_CMJabonilllo.pptx

  • 1. Math 19- Research in Mathematics
  • 3. Group 1: Research Title: Problems and Issues Affecting Bachelor of Secondary Education major in Mathematics Towards Learning Calculus.
  • 4. Group 2: Research Title: Teaching Strategies Affecting Student’s Engagement in Mathematics in preparation to their Academic Exit.
  • 5. Group 3: Research Title: The Effectiveness of the Integration of Game-based Learning Strategies to Enhanced Mathematical Comprehension and Students Motivation
  • 6. Group 4: Research Title: Students’ Proficiency in Solving Mathematical Algebraic Problems: Basis for Development of Tutorial Program
  • 7. Group 5: Research Title: Factors Affecting Student’s Learning in Mathematics: Basis for the Implementation of a Tutorial Remediation
  • 8. Group 6: Research Title: Comparing the Effectiveness between Peer- Tutorial and Online Tutorial in Math.
  • 9. Group 7: Research Title: Examining the Relationship between Students’ Mathematical Problem Solving Skills and Teachers’ Teaching Strategies.
  • 10. Group 8: Research Title: Impact of Constructivist-based Mathematics Instruction on STEM Students’ Academic Performance.
  • 11. Group 9: Research Title: Exploring the Challenges between Mathematical Anxiety and Performance in Calculus.
  • 13. 1. Clarity and Specificity: Ensure that your research questions are clear, focused, and specific. Ambiguous or vague questions can lead to confusion and make it difficult to design and conduct your study. Clearly articulate what you aim to investigate. 2. Relevance: Make sure your research questions address important issues within your field of study. They should contribute to advancing knowledge or addressing gaps in existing literature. 3. Feasibility: Ensure that your research questions are feasible given your available time, resources, and expertise. Consider the practicalities of conducting research and make sure your questions are realistic. Guidelines in Choosing/ Writing Good Research Questions and Problems
  • 14. 4. Originality Aim for research questions that are novel and innovative. Avoid duplicating existing studies unless there is a compelling reason to do so, such as replicating findings in a different context or population. 5. Testability Ensure that your research questions are empirically testable. They should be amenable to investigation using appropriate research methods and techniques. 6. Interest and Importance Craft research questions that are intellectually stimulating and relevant to both scholars and practitioners in your field. Consider the potential impact and implications of your research. 7. Contextualization Situate your research questions within the broader context of existing literature and theoretical frameworks. Demonstrate an understanding of relevant concepts, theories, and debates. 8. Simplicity While your research questions should be specific, they should also be simple and straightforward. Avoid overly complex or convoluted language that may confuse readers or obscure your main objectives.
  • 15. 9. Conciseness Keep your research questions concise and to the point. Avoid unnecessary repetition or verbosity. 10. Alignment with Research Design Ensure that your research questions align with your chosen research design and methodology. Consider whether your questions are best suited to qualitative, quantitative, or mixed-methods approaches. 11. Ethical Considerations Consider ethical implications when formulating your research questions, particularly if your study involves human subjects. Ensure that your research is conducted in an ethical and responsible manner. 12. Revision and Iteration Be prepared to revise and refine your research questions as you progress through the research process. Iterative refinement is often necessary as you gather more information and insights.
  • 16. 9. Conciseness Keep your research questions concise and to the point. Avoid unnecessary repetition or verbosity. 10. Alignment with Research Design Ensure that your research questions align with your chosen research design and methodology. Consider whether your questions are best suited to qualitative, quantitative, or mixed-methods approaches. 11. Ethical Considerations Consider ethical implications when formulating your research questions, particularly if your study involves human subjects. Ensure that your research is conducted in an ethical and responsible manner. 12. Revision and Iteration Be prepared to revise and refine your research questions as you progress through the research process. Iterative refinement is often necessary as you gather more information and insights.
  • 17. Here is an example of a script for a quantitative research question describing outcomes of score for a variable: 1. What is the frequency and variation of scores on ____________(name the variable) for ______________(participants) in the study? Here is an example of a script for a quantitative research question focused on examining the relationship among variables: 1. Does _________ (name the theory) explain the relationship between _________ (independent variable) and _________ (dependent variable), controlling for the effects of _________ (mediating variable)? Alternatively, a script for a quantitative null hypothesis might be as follows: 1. There is no significant difference between _________ (the control and experimental groups on the independent variable) on _________ (dependent variable).
  • 18.
  • 19.
  • 20. A Model for Descriptive Questions and Hypotheses
  • 21. Mixed Methods question focused on the intent of mixing, to integrate the qualitative interviews and the quantitative data, the relationship of scores and student performance. This question emphasized what the integration was attempting to accomplish—a comprehensive and nuanced understanding—and at the end of the article, the authors presented evidence answering this question.
  • 22.
  • 23. Writing Activity: 1. For a quantitative study, write two sets of questions. The first set should be descriptive questions about the independent and dependent variables in the study. The second set should pose questions that describe and relate (or compare) the independent variable(s) with the dependent variable(s). This follows the model presented in this chapter for combining descriptive and inferential questions. 2. Write a mixed methods research question. Write the question to include both the methods of a study as well as the content.
  • 24. Prepared: CRISTY M. JABONILLO EdD Part Time Instructor