Mathematics: Hawaii

Delivering Well Prepared Teachers Policy

Hawaii relies on national accreditation standards for teacher preparation programs as the basis for articulating its requirements for the mathematics content knowledge of elementary teacher candidates.

The state does not specify any coursework requirements regarding mathematics content. However, Hawaii requires NCATE accreditation, suggesting that the state uses Association for Childhood Education International (ACEI) standards for approving its elementary programs. ACEI standards address content in mathematics foundations, but these standards lack the specificity needed to ensure that teacher preparation programs deliver other mathematics content of appropriate breadth and depth to elementary teacher candidates. For example, ACEI algebra standards state that candidates should "know, understand and apply algebraic principles," but these standards make little mention of the actual knowledge that might contribute to such understanding.

Hawaii requires that all new elementary teachers pass a general subject-matter test, the Praxis II. This commercial test lacks a specific mathematics subscore, so one can likely fail the mathematics portion and still pass the test. Further, while this test does cover important elementary school-level content, it barely evaluates candidates' knowledge beyond an elementary school level, does not challenge their understanding of underlying concepts and does not require candidates to apply knowledge in nonroutine, multistep procedures.

**Require teacher preparation programs to provide mathematics content specifically geared to the needs of elementary teachers.**

Although ACEI standards require some knowledge in key areas of mathematics, Hawaii should require teacher preparation programs to provide mathematics content specifically geared to the needs of elementary teachers. This includes specific coursework in foundations, algebra and geometry, with some statistics.

**Require teacher candidates to pass a rigorous mathematics assessment.**

Hawaii should assess mathematics content with a rigorous assessment tool, such as the test required in Massachusetts, that evaluates mathematics knowledge beyond an elementary school level and challenges candidates' understanding of underlying mathematics concepts. Such a test could also be used to allow candidates to test out of coursework requirements. Teacher candidates who lack minimum mathematics knowledge should not be eligible for licensure.

Hawaii asserted that all elementary education candidates are required to submit passing scores for the Praxis II Elementary Education content test, which includes a section on mathematics. The state also pointed out that the mathematics section includes the following concepts: mathematical processes, number sense and numeration, algebraic concepts, informal geometry and measurement, and data organization and interpretation.

Because the Praxis II elementary content test does not report a subscore for mathematics, the state cannot guarantee requisite knowledge for elementary teachers, who could possibly answer many math questions incorrectly yet still go on to pass the test.

- Admission into Preparation Programs
- Elementary Teacher Preparation
- Elementary Teacher Preparation in Reading Instruction
- Elementary Teacher Preparation in Mathematics
- Middle School Teacher Preparation
- Secondary Teacher Preparation
- Secondary Teacher Preparation in Science
- Secondary Teacher Preparation in Social Studies
- Special Education Teacher Preparation
- Assessing Professional Knowledge
- Student Teaching
- Teacher Preparation Program Accountability

- State Data Systems
- Evaluation of Effectiveness
- Frequency of Evaluations
- Tenure
- Licensure Advancement
- Equitable Distribution

For evidence that new teachers are not appropriately prepared to teach mathematics, see NCTQ,* No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America's Education Schools* (2008) at:

http://www.nctq.org/p/publications/docs/nctq_ttmath_fullreport_20090603062928.pdf

For information on the mathematics content elementary teachers need to know, see National Council of Teachers of Mathematics, "Highly Qualified Teachers: A Position of the National Council of Teachers of Mathematics," (July 2005). See also Conference Board of the Mathematical Sciences, The Mathematical Education of Teachers, Issues in Mathematics, Vol. 11, (American Mathematical Society in cooperation with the Mathematical Association of America, 2001), p. 8.

For evidence on the benefits of math content knowledge on student achievement, see Kukla-Acevedo "Do Teacher Characteristics Matter? New Results on the Effects of Teacher Preparation on Student Achievement." Economics of Education Review, 28 (2009): 49-57; H. Hill, B. Rowan and D. Ball "Effects of Teachers' Mathematical Knowledge for Teaching on Student Achievement," American Educational Research Journal (2005).

For information on where states set passing scores on elementary level content tests for teacher licensing across the U.S., see chart on p. 13 of NCTQ's "Recommendations for the Reauthorization of the Elementary and Secondary Education Act, Removing the Roadblocks: How Federal Policy Can Cultivate Effective Teachers?" (2011).