What are the effects of explicit instruction pedagogy on student achievement in mathematics

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The message I sent on the previous revision was to focus on detailing the information for Sections 5, 6 and 7 which the professor stated to me was lacking in the paper. Please focus on incorporating the following topics below:

5. Data collection methods: Outline in specific terms the data collection procedures that will be
used. Be specific about the steps you will take and your methodological approach to these steps.
Explain the rationale for your choices. Support specific choices by citing relevant
methodological sources. (1-1 ½ pages)
Choose from the following list.
• Surveys
• Description of instrument and topics addressed
• Informed consent
• Anonymity and confidentiality
• Number
• Distribution plan
• Collection process (e.g., hard copy, electronic)
• Storage and protection
• Interviews
• Number of individuals
• Number of interviews per person
• Venue or process (e.g., Zoom)
• Length
• Approach (e.g., semi-structured, structured)
• Recorded?
• Transcribed? By whom?
• Topics addressed (e.g., interview protocol)
• Focus groups
• Number of focus groups
• Number of participants in each group
• Venue or process (e.g., Zoom)
• Length
• Topics addressed (e.g., interview protocol)
• Recorded?
• Inter-rater reliability
• Observations
• Number
• Setting
• Role (e.g., participant-observer, observer)
• Documents
• Source
• Access
• Content
• Usefulness
Data analysis procedures: Outline in specific terms the data analysis procedures that will be
used. Be specific about the steps you will take and your methodological approach to these steps
such as what kind of approach to coding will you use. Support specific choices by citing
relevant methodological sources. (1-1 ½ pages). Consult: Shenton, A. K. (2004). Strategies for
ensuring trustworthiness in qualitative research projects. Education for information, 22(2), 63-
75.
o Quantitative analyses
1. What will you do in terms of data cleaning?
2. Identify your approach(es) such as descriptive and/or inferential statistics.
3. Outline analysis procedure(s) in detailed and specific terms such as chi-
square, T tests, ANOVA and ANCOVA, correlations, or regression.
o Qualitative analyses
1. What will you do in terms of data cleaning and member checking?
2. What about memoing? Software use?
3. What coding approach will you use? Deductive? Inductive? Descriptive?
In-vivo?
7. Procedures to address trustworthiness, credibility, and transferability: In this section,
explain which steps and features you are building into the design of your study that will
support the validity and trustworthiness of your conclusions. 1-1 ½ pages)
o Quantitative findings
1. Talk about reliability in regard to consistency of measurement and
analysis: test-retest, parallel forms, inter-rater, internal consistency.
2. Discuss test validity in terms of accuracy of measurement and analysis:
construct validity, content validity, face validity, criterion validity.
3. Explain experiment validity and accuracy of research design in terms of
internal validity: How well was the study conducted? What can you say
about history, maturation, testing, statistical regression, instrumentation,
participant selection, experimenter bias, mortality? And in terms of
external validity: How generalizable are the findings? What can you say
about demand characteristics, Hawthorne effects, order or carryover
effects, treatment interaction?
o Qualitative findings
1. How are you going to talk about credibility? What can you say about
member checking and/or triangulation of themes and codes with multiple
data sources?
2. How are you going to talk about transferability? What can you say about
using rich descriptions of the context and/or site of the research? About
supporting findings with rich descriptions and/or participant quotes?
3. How are you going to talk about dependability? What methodological
description is needed to show that the study could be repeated in a
different context and/or with different participants?
4. How are you going to talk about confirmability? How are you going to
analyze your own biases and positionality and acknowledge the limitations
of the study?

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