Math Research

• Research


  Methodical investigation and study of sources and materials in order to establish facts and attain new conclusions
• Research requires a series of steps to gather, analyze, and interpret information to increase one's understanding of a topic or issue
• Research is said to be open-ended because we continually come up with questions based on curiosity or on observations
• Importance of research


  • Expands your knowledge base
  • Gives you the latest information
  • Helps you know what you are up against
  • Builds your credibility
  • Helps you narrow your scope
  • Teaches you better discernment
  • Helps you with problem-solving
  • Introduces you to new ideas
  • Helps you reach people
  • Encourages curiosity
• Parts of a statistical mini-research


  • Title Page
  • Introduction/Rationale
  • Body
  • Conclusion
  • Appendices
• Title Page


  The very first page of a research paper containing the paper's title, the author's name, and the completion date
• Introduction/Rationale


  The first part of research where the researcher introduces the topic and gets the reader's attention and interest
• Statement of the Problem


  Contains research question/s the researcher is/are trying to answer
• Definition of Terms


  List of important terms (alphabetical order) or acronyms you need to operationally define
• Hypothesis


  A clear and specific statement of expectation that has to be tested
• Body


  The main part of the research containing logically organized data and evidences where the researcher gives and describes arguments and findings
• Background of the Study


  Establishes the context of the research including both important and relevant studies that support or refute the research
• Presentation and Analysis of Data


  Gives the readers an insight into what the researcher has derived out of the entire data
• Slovin's Formula


  A formula used to determine the number of sample size (n) out of the given population (N) and a margin of error (e)
• Sampling Method


  Process by which entities of samples are chosen
• Statistical Measure


  Used to summarize the data and evaluate the evidence against a hypothesis
• Conclusion


  Synthesis of the key points in the research, reminds the readers of the main argument and helps them understand why the research should matter
• Concluding Statement


  Brings closure to the paragraph in the conclusion
• Recommendation


  Contains the specific measures that need to be taken based on the findings, indicates to which the aims have been achieved
• Appendices


  Supplementary materials to make the research more comprehensive
• Slovin's Formula


  n = N / (1 + Ne^2), where n = sample size, N = population size, e = margin of error
• Probability Sampling


  • Simple Random Sample
  • Systematic Sampling
  • Stratified Random Sampling
  • Cluster Sampling
• Non-Probability Sampling


  • Convenience Sampling
  • Voluntary Response Sampling
  • Purposive Sampling
  • Snowball Sampling
• Significant Benefits of doing Mini-Research in Mathematics


  • Deepens understanding of what it means to do mathematics
  • Develops mastery of mathematics topics
  • Builds confidence and enthusiasm to do more
  • Enhances creativity and problem-solving skills
  • Improves critical thinking skills