The Concept of Force and the
       Mechanics Curriculum
                    Terry Scott     Statistician
Not a Statistician Andrew Gray
                 Daniel Schumayer

                   Minion
The Force Concept Inventory
• Concept Inventory rather than a “test”.
• 30 multichoice questions.
• Very good distractors:
  – Guessing success very low
  – Reliability unusually high
  – Pre and post test design seems to work well
The Force Concept Inventory
FCI - Uses
• Standard uses:
  – Evaluate development of conceptual
    understanding.
  – Evaluate teaching methods.
• Our research:
  – Search for conceptual coherence.
  – Understand associations in student mind.
  – Inform teaching method.
  – Suggest future research.
Data Collection
• FCI delivered online (Blackboard)
• PHSI191 – Large Health Science service
  course.
• 2000 student responses collected over two
  years, 2008 and 2009.
• Not obligatory.
• Data checked for disengaged responses
  – 50 response sets removed.
Data Analysis
• Exploratory Factor Analysis
  – Construct correlation matrix (using tetrachoric
    correlations)
  – Find eigenvalues/eigenvectors.
• What does this mean?
  – Factors = latent traits/concepts
  – Factors represent student understanding of force.
     • How do students group questions, which questions are
       about the same thing?
     • How does this compare with the way experts group
       questions?
Interpretation
• 5 factors found in the analysis.
• These factors are not orthogonal
  – Correlations between factors – useful
    information
• Clear that there is conceptual coherence
  in the data.
• Better score = greater conceptual
  coherence?
  – No evidence, not enough data
The Factors
• Factor 1 – Identification of forces.
• Factor 2 – Newton’s first law, linear and
  curved paths.
• Factor 3 – Newton’s second law +
  necessary concepts
  (acceleration, velocity).
• Factor 4 – Newton’s first law with zero net
  force.
• Factor 5 – Newton’s third law.
Factor 1 – Identification of
         Forces.
Factor 2 – Newton’s First
Factor 3 – Newton’s Second
Factor 4 – Newton’s First Again
Third Law/First Law conflation –
             Qu.16
Kinematics?
• Authors of the FCI included a number of
  questions solely about kinematics
  concepts.
• We find no factor containing only
  kinematics questions.
• Kinematics questions are distributed
  “where they are needed” in factors about
  force laws.
Item Response Analysis -
          Preliminary
• Preliminary results
• Show third law questions significantly
  higher difficulty that other questions
• Marginal analysis
  – Assess student ability, predict the questions
    they will get right.
  – Anomalous numbers of students get 3rd law
    questions right but 1st and 2nd law questions
    wrong.

13.00 o9 t scott

  • 1.
    The Concept ofForce and the Mechanics Curriculum Terry Scott Statistician Not a Statistician Andrew Gray Daniel Schumayer Minion
  • 2.
    The Force ConceptInventory • Concept Inventory rather than a “test”. • 30 multichoice questions. • Very good distractors: – Guessing success very low – Reliability unusually high – Pre and post test design seems to work well
  • 3.
  • 4.
    FCI - Uses •Standard uses: – Evaluate development of conceptual understanding. – Evaluate teaching methods. • Our research: – Search for conceptual coherence. – Understand associations in student mind. – Inform teaching method. – Suggest future research.
  • 5.
    Data Collection • FCIdelivered online (Blackboard) • PHSI191 – Large Health Science service course. • 2000 student responses collected over two years, 2008 and 2009. • Not obligatory. • Data checked for disengaged responses – 50 response sets removed.
  • 6.
    Data Analysis • ExploratoryFactor Analysis – Construct correlation matrix (using tetrachoric correlations) – Find eigenvalues/eigenvectors. • What does this mean? – Factors = latent traits/concepts – Factors represent student understanding of force. • How do students group questions, which questions are about the same thing? • How does this compare with the way experts group questions?
  • 7.
    Interpretation • 5 factorsfound in the analysis. • These factors are not orthogonal – Correlations between factors – useful information • Clear that there is conceptual coherence in the data. • Better score = greater conceptual coherence? – No evidence, not enough data
  • 8.
    The Factors • Factor1 – Identification of forces. • Factor 2 – Newton’s first law, linear and curved paths. • Factor 3 – Newton’s second law + necessary concepts (acceleration, velocity). • Factor 4 – Newton’s first law with zero net force. • Factor 5 – Newton’s third law.
  • 9.
    Factor 1 –Identification of Forces.
  • 10.
    Factor 2 –Newton’s First
  • 11.
    Factor 3 –Newton’s Second
  • 12.
    Factor 4 –Newton’s First Again
  • 13.
    Third Law/First Lawconflation – Qu.16
  • 14.
    Kinematics? • Authors ofthe FCI included a number of questions solely about kinematics concepts. • We find no factor containing only kinematics questions. • Kinematics questions are distributed “where they are needed” in factors about force laws.
  • 15.
    Item Response Analysis- Preliminary • Preliminary results • Show third law questions significantly higher difficulty that other questions • Marginal analysis – Assess student ability, predict the questions they will get right. – Anomalous numbers of students get 3rd law questions right but 1st and 2nd law questions wrong.