Wednesday, August 24, 2011

August 24, 2011

Purpose of assessment:


  • develop a deeper understanding
  • summative vs formative
How do you assess students in your classroom?
  • clickers
  • observation notes
  • standardized tests
  • whiteboards
  • CFAs
  • Chapter tests
Teachers are constantly assessing.  Many tests are not formal
    Assess:
    • means to "sit with" 
    • in assessment one is supposed to sit with the learner.
    • the process of gathering, interpreting, recording, and using informatin about pupils' reponses to and educational task.
    Values and Attitudes about Assessment
    • teachers value and believe in students
    • sharing learning goals with the students
    • involving students in self assessment (most successful way to get students to improve their scores)
    • providing feedback that helps students recognize their next steps and how to take them (second most successful way to get students to improve their scores.)
    • being confident that every students can improve
    • providing students with examples of what we expect from them
    The State of Assessment
    • "A wealth of research - a poverty of practice." (Black and William, 1998)
    • A shift from "teaching" to "learning"
    • Confusion of terms and conditions
      • evaluation - 
      • assessment
        • pre-assessment
        • formative
        • summative
    Assessment Process
    • Pre-assessment
      • to determine what students know
      • determine flexible grouping patterns and should be used regularly
    • Pre-assessment strategies
      • checklist
      • pre-test
      • kwl charts
      • graphic organizers
      • student discussions
      • student work samples
      • teacher observation
    Formative and Summative Assessments
      • formative and summative assessments are interconnected.
      • the vast majority of genuine formative assessments are informal
      • formative assessment has the greatest impact on learning and achievement
    • Formative Assessment
      • assessment for learning
      • taken at varying intervals throughout a course to provide information and feedback that will help improve
        • the quality of student learning
        • the quality of the course itself
      • provides information on what an individual student needs
        • to practice
        • to have re-taught
        • to learn next
      • ".....learner centered, teacher directed, mutually beneficial, formative, context-specific, ongoing, and firmly rooted in good practice" (Angelo and Cross, 1993)
      • Formative Assessment Strategies
        • conference
        • demonstrations
        • exit cards
        • I learned statements (I can statements)
        • interviews
        • journal entries
        • kwls
        • learning logs
        • peer evaluations
        • problem solving activities
        • quiz
        • response groups
        • self-evaluations
      • Summative Assessment
        • assessment of learning
        • generally taken by students at the end of a unit or semester to demonstrate the sum of what they have or have not learned
        • summative assessment methods are the most traditional way of evaluation student work
        • good summative assessments -- tests and other graded evaluations -- must be demonstrably reliable, valid and free of bias
      • Summative Assessment Strategies
        • Unit tests
        • performance task
        • product/exhibit
        • demonstration
        • portfolio review
    Factors Inhibiting Assessment
    • a tendency for teachers to assess quantity and presentation of work rather than quality of learning
    • greater attention given to marking and grading, much of it tending to lower self esteem of students, rather than providing advice for improvement
    • a strong emphasis on comparing students with each other, which demoralizes the less successful learners
    Self - evaluation
    • Where would you place your assessment practice on the following continuum
    quantity or work/presentation <------------------------------------------------------------->quality of learning
    marking/grading   <-------------------------------------------------------------------------> advice for improvement
    comparing students <--------------------------------------------------------------> identifying  individual progress

    Classroom Assessments
    • Some teachers talk about learning while Some teachers talk about grades
      • Can these co-exist peacefully?
        • if you are focused on learning and select your grading scale carefully, your grading can become a reflection of your learning
      • Should one receive emphasis over the other?
    HW Article: The Role of Assessment in Elementary Math
    Math Endorsement Materials (article is found on this wikispace)
    • read the article 
    • what is the role of the CFA in your classroom
    • Respond to this statement: "A CFA is formative so much as the teacher uses the information  to inform instructional decisions.  (Example: the teacher reteaches misunderstood concepts.)  If a teacher chooses to not take any instructional action based on student  performance on a given CFA, that test then becomes summative"
    • Who or what resources do I have available to me if I have any concerns or questions as I implement a balanced math "assessment toolkit"?
    A Balanced Assessment System
    • Screening assessments 
    • diagnostic assessments
    • formative assessment - assessment for learning
    • summative assessment - assessment of learning
      • classroom
      • standardized
    Which stakeholder group currently makes the best use of assessment information?
    • teachers 
      • screening assessments (example: CBM)
        • determine interventions and what students
        • progress monitoring
      • diagnostic assessments
        • highlight problems
        • to find holes in learning
      • formative assessments
        • to decide what to teach and how to teach
      • summative assessments
        • for a grade, to determine mastery
      • standardized tests
        • some send it on, or don't look at it 
        • some preview student scores at beginning of year
        • some improve instruction
    • students
      • screening assessments
        • comparison to other students
      • formative assessments
        • demonstrate what they are learning to teacher
      • summative assessments
        • they compare
        • they feel good or bad
      • standardized tests
        • they don't
    • administrators
      • screening assessments
        • school-wide interventions
      • diagnostic assessments
        • where to put the resources
        • where to spend the money
        • what teachers need support
      • formative assessments (don't have much say in this)
        • if involved in PLC can help teachers fill those holes
      • summative assessments (not applicable)
      • standardized tests
        • AYP
    • parents
      • screening assessments
        • how can they help students improve learning at home
        • support student at home
      • diagnostic assessments
        • how can they help students improve learning at home
      • formative assessments
        • parents can see student progress, and areas of improvement that they can support at home
      • summative assessments
        • to see their student has learned a concept
      • standardized assessments
        • look at scores when deciding what school to send their students to
    • community
      • screening assessments (don't see these scores)
      • diagnostic assessments (don't see these scores)
      • formative assessments (don't see these scores)
      • summative assessments (don't see/use these scores)
      • standardized assessments
        • legislatures use it to say how well our state is doing
    What type of assessment methods can be used?
    • selected or closed response
      • multiple choice, matching, fill in the blank....etc
    • extended written or open response
      • short answer
    • performance assessments
      • students are given a situation, a practical application
      • forced to produce something
      • term essays
      • projects
      • example: science fair project
    • personal communication
      • journaling
      • reflections
      • learning logs
      • personal interaction with student (in person and/or responding to their logs)




    Homework
    Read the article, Inside the Black Box: Raising Standards Through Classroom Assessment, by Black and Wiliam in preparation for next week’s class.

    Wednesday, May 25, 2011

    Scatter Plots

    This link takes you to site that will create a scatter plot for you.  You enter the x and y data, and the graph is created for you.

    Tuesday, May 24, 2011

    X and Y Intercept

    This link takes you to a page that will show you how to find the x and y intercepts of an equation.
    It was helpful for me.

    Wednesday, May 18, 2011

    May 18, 2011

                                                 
    Factor Each Completely

    Factoring Polynomials Using Greatest Common Factor


     

    #13 = j^6/6^3....

    Wednesday, May 4, 2011

    May 4, 2011

    Substitution Method
    Works really well if one of the variable is already solved. (For example, you know what y equals)


    The values of x and y were found using the Substitution Method
    You should write your answer as an ordered pair  (8,11)
    More examples using the Substitution Method.
    Don't forget to write answers as ordered pairs.

    Solving Systems Using Eliminaton Method
    x and y are generally on the same side.  We are going to add the two equations together.





    Inequalities -

    Hint: read from the variable.  For example: x > 3 is read "x is greater than 3"  3 < x "x is greater than 3"
    Solve inequalities like you would equations.

    Determine whether each number is a solution of the given inequality.


    Graph each inequality

    I made a mistake on #15.  If the swimmer is greater than 23, he/she doesn't qualify.
    The inequality should be x< 23.  He/she needs to be less than 23.
    Solving Inequalities
    If you multiply or divide by a negative number, you MUST flip/reverse the inequality sign.


    Linear Inequality


    The easiest test point is (0,0)  If the line passes through the origin, you can't use (0,0) the test point can't be on the line.
    If the inequality is greater than or equal to OR less than or equal to the line is solid.
    If the inequality is greater than or less than the line is dashed

    Is the statement true or false:

    • y < 3x + 2 - test point (0,0).....0 < 3(0) + 2 = 0 < 2......this statement is true.
    Graphing linear inequalities
    In linear inequalities, we are looking at a region.
    Homework:
    Worksheets: All Mixed Up and All Mixed Up Again

    Wednesday, April 27, 2011

    April 27, 2011

    There are 3 types of lines:

    1. Parallel lines - the slope for each line is the same.  There is no common solution.  "My son and I will never be the same age".  
    2. 1 intersection - intersect at exactly one point.  The lines will never intersect again.  There is 1 common solution.  The point makes the equation for both lines true.  "My dog and I will eventually be at the same age because we age at different rates."
    3. Infinite intersection lines - all intersecting points are common.  "My identical twin and I will always be the same age."
    Solving Systems by Graphing:


    The lines intersect at (4,10)
    The solution to this system is x = 4, y = 10
    Another system to solve: 
    The lines intersect at (2,4)
    Solution to this system is x = 2, y = 10
    **Sometimes the systems are not in slope intercept form.  So, in that case you need get it there.**
    Example:
    • x + y = 8 and y = 3x
      • x + y = 8 is not in slope intercept form.  Subtract x from both sides.  The equation then turns into: y = -x + 8.  This is now in slope intercept form.
      • The lines intersect (2,6)
        The solution to this system is x = 2, y=6
    We used a graphing calculator to solve these problems. We had to find the intersection
    and in what quadrant.
    #1 is (-1,2) Quadrant 3
    #7 is (-1,3) Quadrant 2
    #10 is (3,8) Quadrant 1
    Free online Graphing Calculator
    you can use the above link to solve these problems.

    This is a problem we solved, but I used the online graphic calculator 
    Another problem that we did.  I did this one on paper, using two different methods.
    *The first putting both equations in slope intercept form and them using a graphing
    calculator.
    *The second, using a T table for each equation and looking for coordinates
    that are identical
    Write the equations in slope intercept form. 
    (don't solve the systems)


    Wednesday, April 13, 2011

    April 13, 2011

    Homework problems


    Graph for this problem is below
    This is the graph for the answer for problem #1.  y = 1x + 5
    The graph for this problem is below.
    This is the graph for y = -2x - 6

    Free online graphing calculator - Thanks for sharing Julie!!