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The Governor’s Institute for Mathematics
Educators
July 2004
FINAL
PROJECT
(Download as Microsoft word document: mystery.doc)
TITLE: Unraveling the Mystery of the PSSA
OBJECTIVE: This presentation is meant to provide a model for in-servicing faculty on the mathematics section of the grade 5 PSSA including format, content, accommodations, and recent changes. A component titled “Adopt-An-Anchor,” meant to provide the entire school community an opportunity to reinforce mathematics skills, has also been included.
AUDIENCE: Grade 5 Teachers of Mathematics (regular and special education)
AUTHORS: Annemarie Tuffner
Honor Keirans, SSJ
Barb Walton
WORKSHOP OUTLINE
(* denotes that the
component may be found on the PDE website www.pde.state.pa.us )
·
Overview of NCTM (National Council of Teachers
of Mathematics ) Standards revised 2000
§ 5 Content Standards: Number and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability
§ 5 Process Standards: Problem Solving; Reasoning and Proof; Communication; Connections; Representation
· Overview of the PA Standards for Mathematics (1999)
§ 11 Content Standards
2.1 Numbers, Number Systems and Number Relationships
2.2 Computation and Estimation
2.3 Measurement and Estimation
2.4 Mathematical Reasoning and Connections
2.5 Mathematical Problem Solving and Communication
2.6 Statistics and Data Analysis
2.7 Probability and Predictions
2.8 Algebra and Functions
2.9 Geometry
2.10 Trigonometry
2.11 Concepts of Calculus
·
Overview of PSSA (internet-available information
released by PDE)
§
Power point presentation: Get
Ready, Get Set, Go!
Assessment Anchor Rollout PowerPoint Presentation*
§ Frequently Asked Questions (FAQ) *
§ Assessment Anchors *
M5.A. Numbers and Operations
M5.B. Measurement
M5.C. Geometry
M5.D. Algebraic Concepts
M5.E. Data Analysis & Probability
§ Eligible Content (assessment limits) *
§ Released Items and 5-point Rubrics *
· Open-ended items (worth 5 points each)
· Multiple choice items (worth 1 point each)
§ Glossary *
§ Formulas *
§ Accommodations *
§ Adopt-An-Anchor *
§ Total testing time = 4 hours
§ Number of test sessions = 4
§ Number of multiple choice items = 85 (70 common, 15 matrix)
§ Number of open-ended items = 4 (3 common, 1 matrix)
· Example of a student profile including accommodations available to her
(Accommodations are available on the PDE website.)
Emily has a severe hearing loss in both ears. Her language comprehension and expressive skills are 4 years below grade level, as are her reading skills. She is above grade level in basic math computation, but has great difficulty with word problems and abstract concepts. Emily uses an assistive listening device in the classroom to allow her to hear better, but even with that she has difficulty comprehending lengthy verbal explanations. She does not use sign language. She learns best using visual representation of information or a process when possible.
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Assistive listening device allowed |
Page 3 & page 8 |
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Extra time |
Page 4 |
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Extra breaks |
Page 4 |
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Testing in separate room |
Page 5 |
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Small group testing |
Page 5 |
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Page 11 |
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Providing visual cues |
Page 12 |
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Simplifying directions |
Page 12 |
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Accommodations not allowed |
Page 13 |
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IEP team makes the decision for the accommodation |
Page 11 |
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Accommodation specifically for hearing impaired |
Page 17 |
* Check list for areas that could not be accommodated are listed on page 20.
http://www.pde.state.pa.us/a_and_t/lib/a_and_t/2004PSSAaccommodationguideline_03_05_04.pdf
(N.B. PDE has scheduled a
Rollout for October 2004 titled Getting
Ready 2005! during which the following will be provided: the blueprint for
2005 according to reporting categories; the new 4-point rubric; the remainder
of the item bank for grades 3, 5, 8 and 11; additional released items with
their specific rubrics and anchor papers.
Eligible content for grades 4, 6 and 7 is expected to be available in
November 2004. Consult the PDE website for additional information.)
·
EXAMPLE
for Assessment Anchor M5.C GEOMETRY
o The following details the range of knowledge from which the assessment is designed:
§ Identify/classify/compare cubes, rectangular prisms and pyramids using faces, vertices and edges.
§ Identify/classify/compare triangles and quadrilaterals according to sides (length, parallel or perpendicular) and angles.
§ Identify and/or compare parts of right triangles, including right angles, acute angles, hypotenuse and legs.
§ Identify and/or determine the measure of the diameter and radii of a circle (when one or the other is given).
§ Identify, draw and/or label points, lines, line segments, rays and planes.
§ Draw or identify a translation (slide), reflection (flip) or rotation (turn) of a 2-dimensional shape.
§ Draw or identify a maximum of 2 lines of symmetry in a two-dimensional figure.
§ Locate, plot and/or identify points in Quadrant 1 and on the x and y axes of a grid (intervals of 1 up to a 20 by 20 grid).
o Example open-ended item:
A
room measures 8 feet by 12 feet. The
room needs to be covered with new tiles.
The tiles are right triangles.
o The legs of the right triangles are 12 inches long.
o Each tile costs $0.39.
How much does it cost to buy tiles to cover the floor?
WRITE each step of your math work.
EXPLAIN why you did each step.
WRITE your answer in the box below.
LABEL your answer.
o Example multiple choice item:
Student is asked to locate an object on a grid when provided the co-ordinates.
o Glossary
specific to this assessment anchor. (Terms appear on both the grade 3 and grade
5 glossary lists and are specific to GEOMETRY.)
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GRADES 3 and 4 · Acute angle · Area · Cone · Congruent · Cube · Cylinder · Edge · Face · Hexagon · Line · Line of symmetry · Line segment · Obtuse angle · Octagon · Parallel lines · Parallelogram · Pentagon · Perimeter · Perpendicular lines · Pyramid · Quadrilateral · Ray rectangular prism · Reflection (flip) · Rhombus · Right angle · Right triangle · Rotation (turn) · Sphere · Translation (slide) · Trapezoid · Vertex · Volume (capacity) |
GRADES 5 and 6 · Chord · Circumference · Diameter · Heptagon · Hypotenuse · Leg (of a right triangle) · Nonagon · Plane · Radius · Regular polygon · Similar polygons · Straight angle · Transformation |
· The following provides a link to the website which provides both the grade 3 and grade 5 glossaries complete with definitions.
http://www.pde.state.pa.us/a_and_t/lib/a_and_t/Grades3and4MathAssessmentAnchorGlossary.pdf
http://www.pde.state.pa.us/a_and_t/lib/a_and_t/Grades5and6MathAssessmentAnchorGlossary.pdf
ADOPT-AN-ANCHOR
In order to provide an opportunity for every member of the school community to assume ownership of their children’s PSSA mathematics scores, we suggest that the principal, with a multi-grade level PSSA committee, adopt one of the 5 assessment anchors. For the 2004-2005 school year, it is recommended that GEOMETRY be that anchor.
Suggested delineated responsibilities for Adopt-an-Anchor might be as follows:
o Principal - interact with students during bus duty, lunch time, classroom visits, etc. to discuss various shapes as well as geometry vocabulary, including definitions, on a daily basis. The principal is also responsible for providing custodians, bus drivers, aides, and nurses with their school’s geometry-related “theme of the week.”
o Language arts class - discuss the vocabulary related to the theme.
o Social Studies- include discussions related to areas, perimeters, and shapes of local buildings, states, etc.
o Science - ask students to interpret age appropriate graphs.
o Art - have students find examples of geometric shapes, transformations and reflections in nature as well as in their personal art work.
o Music - emphasize parallel and perpendicular lines on music sheets.
o Physical Education - direct students to run around the perimeter of gym, stand in straight lines, play within the area of a circle etc.
o Library - suggest reading material which includes geometric shapes, etc.
The principal and PSSA team might address one of the five mathematics assessment anchors each month while keeping in mind the fact that the PSSA will be administered in the spring. A pep rally might be scheduled during the week preceding the assessment in order to insure that the entire school community is totally focused on and supportive of student achievement.
The following provides a link to the website which provides both open-ended and multiple choice practice items including rubrics and students anchor papers. Additional Adopt-an-Anchor information is available on this website.
http://www.pde.state.pa.us/a_and_t/lib/a_and_t/GR5ANC25.pdf
NOTE: Keep in mind that grades 4, 6 and 7 will be administered the PSSA in the spring of 2006. Using Adopt-an-Anchor will provide entire community involvement which can only help prepare for that assessment.
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