A process of systematic inquiry that entails collection of data; documentation of critical information; and analysis and interpretation of that data/information
Education research
The scientific field of study that examines education and learning processes and the human attributes, interactions, organizations, and institutions that shape educational outcomes
Educational research aims to describe, understand, and explain how learning takes place throughout a person’s life
Educational research embraces the full spectrum of rigorous methods appropriate to the questions being asked
Purpose of educational research
Improving educational practice by analyzing the world of Education to understand it and make it better
Objectives of educational research
Explore issues and find answers to questions
Share policy
Improve practice
Purpose of educational research
Understanding student behavior
Understanding educational phenomena
Information decision making
Improving teaching practice
Evaluating programs and interventions
Fundamental or Basic Research
The formal and systematic process of deductive-inductive analysis, leading to the development of theories
Inductive reasoning
Based on observations and not any hypothesis
Deductive reasoning
Requires a hypothesis or a statement that has to be true under specified conditions for validity
Basic Research Examples
A study of how stress affects labor productivity
Studying the best factors of pricing strategies
Understanding the client’s level of satisfaction
Understanding the leadership style of a particular company
Applied research
Adapts the theories developed through fundamental research to the solution of problems
Educational fields use applied research to test teaching processes and improve methods of teaching and learning
Applied research combines both quantitative and qualitative data-gathering methods from primary sources
Applied Research Examples
Understanding the scope of online learning initiatives
Improving teacher-to-student classroom engagement
Testing the new mathematics program
Action research
A research method that aims to simultaneously investigate and solve an issue
Types of action research
Participatory action research
Practical action research
Participatory action research
Emphasizes that participants should be members of the community being studied
Practical action research
Focuses on how research is conducted and is designed to address and solve specific issues
Action research models
Operational action research<|>Collaboration action research<|>Critical reflection action research
Quantitative research
Applied to describe current conditions, investigate relations, and study cause–effect phenomena
Qualitative research
Seeks to probe deeply into the research setting to obtain in-depth understandings about the way things are
Quantitative research involves the collection and analysis of numerical data
Qualitative research focuses on exploring subjective experiences and understanding the underlying meanings and interpretations of educational phenomena
Quantitative research focuses on quantifying relationships, patterns, and trends within educational phenomena.
Quantitative Research
Descriptive Research
Survey Research
Correlational Research
Causal-Comparative Research
Experimental Research
Qualitative research seeks to probe deeply into the research setting to obtain in-depth understandings about the way things are, why they are that way, and how the participants in the context perceive them.
Qualitative Research
Historical research
Ethnography
Phenomenology
Grounded theory
Case study
Narrative research
Ethnomethodology
Mixed-methods research is a procedure for collecting, analyzing, and “mixing” both quantitative and qualitative methods in a single study or a series of studies to understand a research problem.
Mixed-Methods Research
Explanatory
Exploratory
Parallel
Embedded
Multiphase
The Use of Research in Validating Theories and Establishing Trends in Addressing issues in Mathematics Education.
Theoretical Frameworks in Mathematics Education
Constructivism
Sociocultural Theory
Cognitive Development Theory
Multiple Intelligence Theory
Problem-Based Learning Theory
Self-Regulated Learning Theory
Technology-Enhanced Learning Theory
Constructivism
Emphasizes active learning with students constructing their own understanding through interaction with mathematical concepts.
Sociocultural Theory
Focuses on the social and cultural context of learning, considering how mathematics is influenced by the surrounding environment.
Cognitive Development Theory
Explores how children’s cognitive abilities and development stages impact their understanding of mathematics.
Multiple Intelligence Theory
Proposes that individuals possess various types of intelligence, including mathematical intelligence.
Problem-Based Learning Theory
Advocates for learning through solving real-world problems.
Self-Regulated Learning Theory
Focuses on empowering students to take control of their learning process.
Technology-Enhanced Learning Theory
Explores the integration of technology to enhance mathematics education.
Identifying Trends and Issues in Mathematics Teaching and Learning