Elementary Teacher Preparation in Mathematics

2011 Delivering Well Prepared Teachers Policy

2011 Goals for Elementary Teacher Preparation in Mathematics

The state should ensure that new elementary teachers have sufficient knowledge of the mathematics content taught in elementary grades.

Best practices

Massachusetts is the only state that ensures that its elementary teachers have sufficient knowledge of mathematics content. As part of its general curriculum test, the state utilizes a separately scored mathematics subtest that covers topics specifically geared to the needs of elementary teachers.

Suggested Citation:
National Council on Teacher Quality. (2011). Elementary Teacher Preparation in Mathematics national results. State Teacher Policy Database. [Data set].
Retrieved from: https://www.nctq.org/yearbook/national/Elementary-Teacher-Preparation-in-Mathematics-6
Best practice 1

State

Meets goal 0

States

Nearly meets goal 1

State

Meets goal in part 5

States

Meets a small part of goal 30

States

Does not meet goal 14

States

Do states adequately assess elementary candidates’ mathematics knowledge?

2011
Figure details

Yes. State requires a strong mathematics test. : MA

Partially. State does not require a separately scored mathematics test.: AK, AL, AR, AZ, CA, CO, CT, DC, DE, FL, GA, HI, IA, ID, IL, IN, KS, KY, LA, MD, ME, MI, MN, MO, MS, NC, ND, NH, NJ, NM, NV, NY, OH, OK, OR, PA, RI, SC, SD, TN, TX, UT, VA, VT, WA, WI, WV, WY

No. State does not require a mathematics test.: MT, NE

How we graded

Required math coursework should be tailored in both design and delivery to the unique needs of the elementary teacher.

Aspiring elementary teachers must begin to acquire a deep conceptual knowledge of the mathematics that they will teach, moving well beyond mere procedural understanding. Their training should focus on the critical areas of numbers and operations; algebra; geometry and, to a lesser degree, data analysis and probability. 

To ensure that elementary teachers are well trained to teach the essential subject of mathematics, states must require teacher preparation programs to cover these four areas in coursework that it specially designed for prospective elementary teachers. Leading mathematicians and math educators have found that elementary teachers are not well served by courses designed for a general audience and that methods courses also do not provide sufficient preparation. According to Dr. Roger Howe, a mathematician at Yale University: "Future teachers do not need so much to learn more mathematics, as to reshape what they already know."

Most states' policies do not require preparation in mathematics of appropriate breadth and depth and specific to the needs of the elementary teacher. NCTQ's report No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America's Education Schools found that only 13 percent of teacher preparation programs in a national sample were providing high-quality preparation in mathematics. Whether through standards or coursework requirements, states must ensure that their preparation programs graduate only teacher candidates who are well prepared to teach mathematics.

Most state tests offer no assurance that teachers are prepared to teach mathematics.

Only Massachusetts has developed a rigorous assessment for elementary teachers entirely and solely focused on mathematics. Other states rely on subject-matter tests that include some items (or even a whole section) on mathematics instruction. However, since subject-specific passing scores are not required, one need not know much mathematics in order to pass. In fact, one could answer every mathematics question incorrectly and still pass. States need to ensure that it is not possible to pass a licensure test that purportedly covers mathematics without knowing the critical material.

The content of these tests poses another issue: these tests should properly test elementary and middle school content but not at an elementary or middle school level.  Instead, problems should challenge the teacher candidate's understanding of underlying concepts and apply knowledge in nonroutine, multistep procedures. Unfortunately, this is not the case in the tests currently in use in most states. 

Research rationale

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).

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