home
  : Instruments : Curriculum Development





























home reports instruments plans
search

Curriculum Development Instruments

Return to Instrument Table

Teacher/Faculty Surveys

Instrument 12: Teacher Survey For High School Mathematics

Project: Surveys of Enacted Curriculum
Council of Chief State School Officers

Funding Source: NSF: Undergraduate Education (DUE)

Purpose: To provide comparative information on mathematics instruction

Administered To: High school teachers whose school districts are participating in the Mathematics and Science Partnership Program

Topics Covered:

  • Implementation Activities: content, method, activities, curriculum/materials, equipment/technology, professional development activities, collaboration
  • Learning Environment: method, pedagogy
  • Lesson/Curriculum Plan: learning environment, methods, content, activities, materials
  • Self Assessment (Teacher): application of instructional methods, implementation activities

Format/Length: 448 closed-ended items


Council of Chief State School Officers
Wisconsin Center for Education Research

SURVEYS OF ENACTED CURRICULUM


Teacher Survey
For
High School
Mathematics


Thank you for agreeing to participate in this survey on science and mathematics instruction. The enclosed survey is part of a collaborative effort to provide education policymakers, administrators, and most importantly, teachers like yourself with comparative information about mathematics and science instruction in districts participating in the Mathematics and Science Partnership Program. To learn more about the surveys of enacted curriculum and their use in other projects, please visit the project website; http://www.ccsso.org/sec.html

Your participation in this survey is voluntary. If you choose to participate, all of your responses will be kept confidential. No one outside of the research team will have access to your responses, nor will any individual responses be shared with staff in your school, district or state. No individuals will be identified in any of the reports. The questionnaire poses no risk to you and there is no penalty for refusal to participate. You may withdraw from the study simply by returning the questionnaire without completing it, without penalty or loss of services or benefits to which you would be otherwise entitled.

If you have any questions regarding your rights as a research participant, please contact the University of Wisconsin-Madison School of Education's Human Subjects Committee office at (608) 262-2463.



A joint project of the Council of Chief State School Officers, the American Institutes for Research and the Wisconsin Center for
Education Research, with funding support from the National mathematics Foundation.

The following pages request information regarding students in the target mathematics class for the 2002-2003 school year (last school year).

Please read each question and the possible responses carefully, and then mark your response by filling in the appropriate circle in the response section. A pen or pencil may be used to complete the survey.

SCHOOL DESCRIPTION

             
1 Which of these categories best describes the way classes at this school are organized?   Departmentalized Instruction
  Taught by Subject Area Specialist (non-departmental)
  Self-contained
  Team taught
2 If your school is departmentalized, or you are a subject area specialist, how many different mathematics courses do you currently teach?
 

                  
(Number of courses taught)
 
 

TARGET CLASS DESCRIPTION

Selecting the Target Class-- For all questions about instructional content and practices, please refer only to activities in the mathematics class that you teach. If you teach more than one mathematics class, select the first class that you teach each week. If you teach a split class (i.e., the class is split into more than one group for mathematics instruction) select only one group to describe as the target class.
 
 
3 Which term best describes the target class, or course, you are teaching?  

Other Integrated Math
  Elementary Math Geometry
  Middle School Math Trigonometry
  Pre-algebra Advanced Math
  Algebra Calculus
 
4 Indicate the grade level of the majority of students in the target class.
K

1

2

3

4

5

6

7

8

9

10

11

12
                             
5 How many students are in the target class?   10 or less     21 to 25
    11 to 15     26 to 30
    16 to 20     31 or more
                             
6 What percentage of the students in the target class are female? (Estimate to the nearest ten percent.)    
 
 
Less than 10
10
20
30
40
50
60
70
80
90+ %
                             
7 What percentage of the students in the target class are not Caucasian? (Estimate to the nearest ten percent.)    
 
 
Less than 10
10
20
30
40
50
60
70
80
90+ %
                             
8 During a typical week, approximately how many hours will the target class spend in mathematics instruction?      
(Number of instructional hours)
   
                             
9 What is the average length of each class period for this targeted mathematics class?   Not applicable 51 to 60 minutes
30 to 40 minutes 61 to 90 minutes
41 to 50 minutes 91 to 120 minutes
Varies due to block scheduling or integrated instruction            
                             
10 How many weeks total will the target mathematics class/course meet for this school year?  
Total # weeks =
1 to 12
13 to 24
25 to 36
                             
11 Estimate the achievement level of the majority of students in the target class, based on national standards.   High Achievement Levels      
Average Achievement Levels
Low Achievement Levels
Mixed Levels of Achievement
                             
12 What percentage of students in the target class are Limited English Proficient (LEP)? (Estimate to the nearest ten percent.)    
 
 
Less than 10
10
20
30
40
50
60
70
80
90+ %
                             
13 What is considered most in scheduling students into this class?   Ability or Achievement Parent Request
Limited English Proficiency No one factor more than another
Teacher Recommendation Student selects
                             
                             

Please read the instructions on the next two pages carefully before proceeding.



Council of Chief State School Officers
Wisconsin Center for Education Research



Instructional Content
For
High School
Mathematics


The content matrix that follows contains lists of discrete topics associated with mathematics instruction. The categories and the level of specificity are intended to gather information about content across a wide variety of programs. It is not intended to reflect any recommended or prescribed content for the grade level and may or may not be reflective of your local curriculum. The following pages request information regarding topic coverage and your expectations for students in the target mathematics class for the 2002-2003 school year (last school year).

Step 1: Indicate topics not covered in this class

Begin by reviewing the entire list of topics identified in the topics column of each table, noting how topics are grouped. After reviewing each topic within a given grouping, if none of the topics listed within that group receive any instructional coverage, circle the "<none>" in the "Time on Topic" column for that group. For any individual topic which is not covered in this mathematics class, fill in the circled "zero" in the "Time on Topic" column. (Not necessary for those groups with "<none>" circled.) Any topics or topic group so identified will not require further response. [Note, for example, that the class described in the example below did not cover any topics under "Instructional Technology" and so "<none>" is circled.]

Step 2: Indicate the amount of time spent on each topic covered in this class

Examine the list of topics a second time. This time note the amount of coverage devoted to each topic by filling in the appropriately numbered circle in the "Time on Topic" column based upon the following codes:


  0 = None, not covered  
  1 = Slight coverage (less than one class/lesson)
  2 = Moderate coverage (one to five classes/lessons)
  3 = Sustained coverage (more than five classes/lessons)

Step 3: Indicate relative emphasis of each student expectation for every topic taught

The final step in completing this section of the survey concerns your expectations for what students should know and be able to do. For each topic area, please provide information about the relative amount of instructional time spent on work designed to help students reach each of the listed expectations by filling in the appropriately numbered circle using the response codes listed below. (Note: To the left of each content sheet, you will find a list of descriptors for each of the five expectations for students.)

  0 = No emphasis (Not an expectation for this topic.)
  1 = Slight emphasis (Accounts for less than 25% of the time spent on this topic.)
  2 = Moderate emphasis (Accounts for 25% to 33% of the time spent on this topic.)
  3 = Sustained emphasis (Accounts for more than 33% of the time spent on this topic.)
     
Note:
A code of "3" should typically be given for only one, and no more than two expectation categories within any given topic. No expectation codes should be filled-in for those topics for which no coverage is provided (i.e., circled "0" or "<none>").




Expectations for Students in Mathematics

       
Memorize Facts/ Definitions/
Formulas


Conjecture/Generalize/Prove

  Recite basic mathematics facts

Recall mathematics terms and definitions

Recall formulas and computational procedures
  Determine the truth of a mathematical pattern or proposition

Write formal or informal proofs

Recognize, generate or create patterns

Find a mathematical rule to generate a pattern or number sequence

Make and investigate mathematical conjectures

Identify faulty arguments or misrepresentations of data

Reason inductively or deductively
 
Perform Procedures


  Use numbers to count, order, denote

Do computational procedures or algorithms

Follow procedures/instructions

Solve equations/formulas/routine word problems

Organize or display data

Read or produce graphs and tables

Execute geometric constructions
Demonstrate Understanding
of Mathematical Ideas


Solve Non-routine Problems/
Make Connections


  Communicate mathematical ideas

Use representations to model mathematical ideas

Explain findings and results from data analysis strategies

Develop/explain relationships between concepts

Show or explain relationships between models, diagrams, and/or other representations
  Apply and adapt a variety of appropriate strategies to solve non-routine problems

Apply mathematics in contexts outside of mathematics

Analyze data, recognize patterns

Synthesize content and ideas from several sources
 
   
       

Response Codes
Time on Topic


Response Codes
Expectations for Students

 
0 =
None
(Not Covered)
 
0 =
No emphasis
(Not a performance goal for this topic)
 
1 =
Slight coverage
(Less than one class/lesson)
 
1 =
Slight emphasis
(Less than 25% of time on this topic)
 
2 =
Moderate coverage
(One to five classes/lessons)
 
2 =
Moderate emphasis
(25% to 33% of time on this topic)
 
3 =
Sustained coverage
(More than five classes/lessons)
 
3 =
Sustained emphasis
(More than 33% of time on this topic)