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Writing a Problem Statement
TOPIC: the use of graphing calculators in teaching algebra
As a question: How are graphing calculators
used in teaching grade nine algebra?
As a hypothesis: The achievement of grade nine
students taught algebra with graphing calculators
will equal or exceed that of grade nine students
taught without graphing calculators.
As a null hypothesis: There are no differences in
achievement in algebra for grade nine students
taught with graphing calculators as compared to
those taught with out graphing calculators.
Types of Research
EDUC 500
Is this research?
Consider these examples
During an informal discussion with a group
of students, Ms. Chan heard someone say,
“Teachers always ask the same people to
answer the hard questions.” She began to
wonder if that were really true. To find out
she sat in the back of another teacher’s
class and wrote down each question asked
and the student to whom the question was
directed.
Mr. Ramirez was a beginning nurse. He kept
hearing about Ms. Blaine who was “the best
nurse in the clinic.” In order to find out what
Ms. Blaine did that earned her that
reputation, Mr. Ramirez arranged to shadow
her at work three times each week. He also
talked to patients and other staff about their
reasons for thinking Ms. Blaine was a good
nurse.
Mr. Gordon was interested in the ways
school counsellors thought students learned
about career options. He developed some
tasks that he thought would help
counsellors to talk about their ideas about
student career choices and used the tasks to
interview some colleagues.
Ms. Berliner had just received a new computer for
her classroom. She was curious to find out if
students would learn multiplication facts better
using the computer instead of regular workbook
assignments and class drills. To find out, she
arranged for every other student in her class to use
software designed to teach multiplication, while the
other students used the workbook and participated
in class drills. She gave all the students a pretest and
a posttest to see if the computer group differed
from the regular group. She presented the findings
to the local math teacher association.
Many kinds of research
LOGICAL (mathematics, philosophy)
EVALUATION (judging, appraising)
INVESTIGATIVE (law, government hearings, journalism)
DEMOGRAPHIC (economics, census, polling)
MODUS OPERANDI (forensics, medical diagnosis)
EMPIRICAL/SCIENTIFIC (social science, education, physical science)
Empirical
Research
Quantitative
Mixed
Methods
Qualitative
Post-positivism Constructionism
Quantitative
Experimental
Quasi-
experimental
Correlational
Single
subject
Descriptive
Meta-
analysis
Qualitative
Interpretive
Understanding a
situation from the
participant perspective
Phenomenological
Ethnographic
Grounded Theory
Critical
Understanding and
critiquing power within
society
Action Research
Dialectics
Mixed
Methods
QUAL-quant
QUANT-qual
QUAL-QUANT
QUAL + QUAN QUAL QUAN
QUAN QUAL
QUAL + quan
QUAN + qual
QUAL quan
Qual QUAN
QUAN qual
Quan QUAL
Time order decision
Concurrent Sequential
Types of Research
Burnside set out to determine the
number of teachers in Vancouver who
planned to retire in the next five years,
their ages, and their main reasons for
considering retirement.
Cheung set up a study in Winnipeg
schools to determine the effectiveness
of using computer simulations to teach
science versus hands-on labs.
Mitchell attempted to describe the
early years of the residential schools in
BC.
Historical
Descriptive
Correlational
Causal comparative
Ethnographic
Experimental
Types of Research
McLachlin investigated a hypothesized
relationship between student
melancholia and grades received.
Vigneault conducted an in-depth study
of the culture of a religious school in
southern Saskatchewan.
Naslund investigated the grade point
average of graduating students at
Eastern University to compare (1)
student who had attended community
college for their first two years versus
(2) students who had gone to Eastern
University all four years.
Historical
Descriptive
Correlational
Causal comparative
Ethnographic
Experimental
VALIDITY
Quantitative
Mixed
Methods
Qualitative
• Credibility
• Verisimilitude
• Confirmability
• Researcher
• Replicability
• Reliability
• Probabilistic
• Method & instruments
Quantitative
Mixed
Methods
Qualitative
Idiographic statements
Similarity & difference
Thick description
Researcher as instrument
Readers judge the
transferability
Nomothetic statements
Similarity
Sample to population
Justifiability through standard
techniques
Researcher makes explicit claim
about generalizability
GENERALIZABILITY

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Types-of-Research.ppt

  • 1. Writing a Problem Statement TOPIC: the use of graphing calculators in teaching algebra As a question: How are graphing calculators used in teaching grade nine algebra? As a hypothesis: The achievement of grade nine students taught algebra with graphing calculators will equal or exceed that of grade nine students taught without graphing calculators. As a null hypothesis: There are no differences in achievement in algebra for grade nine students taught with graphing calculators as compared to those taught with out graphing calculators.
  • 3. Is this research? Consider these examples
  • 4. During an informal discussion with a group of students, Ms. Chan heard someone say, “Teachers always ask the same people to answer the hard questions.” She began to wonder if that were really true. To find out she sat in the back of another teacher’s class and wrote down each question asked and the student to whom the question was directed.
  • 5. Mr. Ramirez was a beginning nurse. He kept hearing about Ms. Blaine who was “the best nurse in the clinic.” In order to find out what Ms. Blaine did that earned her that reputation, Mr. Ramirez arranged to shadow her at work three times each week. He also talked to patients and other staff about their reasons for thinking Ms. Blaine was a good nurse.
  • 6. Mr. Gordon was interested in the ways school counsellors thought students learned about career options. He developed some tasks that he thought would help counsellors to talk about their ideas about student career choices and used the tasks to interview some colleagues.
  • 7. Ms. Berliner had just received a new computer for her classroom. She was curious to find out if students would learn multiplication facts better using the computer instead of regular workbook assignments and class drills. To find out, she arranged for every other student in her class to use software designed to teach multiplication, while the other students used the workbook and participated in class drills. She gave all the students a pretest and a posttest to see if the computer group differed from the regular group. She presented the findings to the local math teacher association.
  • 8. Many kinds of research LOGICAL (mathematics, philosophy) EVALUATION (judging, appraising) INVESTIGATIVE (law, government hearings, journalism) DEMOGRAPHIC (economics, census, polling) MODUS OPERANDI (forensics, medical diagnosis) EMPIRICAL/SCIENTIFIC (social science, education, physical science)
  • 11. Qualitative Interpretive Understanding a situation from the participant perspective Phenomenological Ethnographic Grounded Theory Critical Understanding and critiquing power within society Action Research Dialectics
  • 13. QUAL + QUAN QUAL QUAN QUAN QUAL QUAL + quan QUAN + qual QUAL quan Qual QUAN QUAN qual Quan QUAL Time order decision Concurrent Sequential
  • 14. Types of Research Burnside set out to determine the number of teachers in Vancouver who planned to retire in the next five years, their ages, and their main reasons for considering retirement. Cheung set up a study in Winnipeg schools to determine the effectiveness of using computer simulations to teach science versus hands-on labs. Mitchell attempted to describe the early years of the residential schools in BC. Historical Descriptive Correlational Causal comparative Ethnographic Experimental
  • 15. Types of Research McLachlin investigated a hypothesized relationship between student melancholia and grades received. Vigneault conducted an in-depth study of the culture of a religious school in southern Saskatchewan. Naslund investigated the grade point average of graduating students at Eastern University to compare (1) student who had attended community college for their first two years versus (2) students who had gone to Eastern University all four years. Historical Descriptive Correlational Causal comparative Ethnographic Experimental
  • 16. VALIDITY Quantitative Mixed Methods Qualitative • Credibility • Verisimilitude • Confirmability • Researcher • Replicability • Reliability • Probabilistic • Method & instruments
  • 17. Quantitative Mixed Methods Qualitative Idiographic statements Similarity & difference Thick description Researcher as instrument Readers judge the transferability Nomothetic statements Similarity Sample to population Justifiability through standard techniques Researcher makes explicit claim about generalizability GENERALIZABILITY

Editor's Notes

  1. Write a question and a hypothesis for your research topic. Reminder Topic Statements due next week. Use APA style for sample references.
  2. Handout “Is this Research?”
  3. NO
  4. NO
  5. NO
  6. YES
  7. Do “What Kind of Research is It?” activity after going over many kinds of research.
  8. Post-positivism: real world independent of our knowing about it; we try to discover the relationships that correspond to what is going on in the real world; causation is complicated but the important fundamental idea Constructionism: the world is constructed through the interaction between subject and object; objects exist in the world but we experience and interpret them differently; what we know is tentative (although relatively stable) and changes
  9. Often driven by a pragmatic “what works” mentality; using the best of both or in complementary ways The time component of the mixing: can be sequential (qualitative then quantitative, for example) or concurrent. The paradigm component of the mixing: QUAL-quant or QUANT-qual give primacy to either qual or quant; rather than equal weight to both.
  10. Do “Types of Research” activity--summarized on following slides.