Mathematics: Massachusetts

Delivering Well Prepared Teachers Policy

Massachusetts requires all elementary teacher candidates to pass its MTEL "General Curriculum" test, which includes a separately scored math subtest.

The state has also articulated elementary teaching standards that this content test must address; these standards cover numbers and operations, functions and algebra, geometry and measurement, and statistics and probability. Importantly, Massachusetts specifies that candidate learning in these topics must meet the needs of elementary teachers. The state also requires that "candidates shall demonstrate that they possess both fundamental computation skills and comprehensive, in-depth understanding of K-8 mathematics. They must demonstrate not only that they know how to do elementary mathematics, but that they understand and can explain to students, in multiple ways, why it makes sense."

Massachusetts also specifies coursework requirements regarding the following mathematics content: numbers and operations, functions and algebra, geometry and measurement, and statistics and probability.

Regrettably, early childhood education candidates in Massachusetts, who are allowed to teach through grade 2, are only required to pass the early childhood assessment, which combines pedagogy and content and does not report an individual math subscore.

**Require early childhood education teacher candidates to pass a rigorous mathematics assessment as a condition of initial licensure.**

Massachusetts should ensure that early childhood education teacher candidates who teach its elementary grades possess the requisite knowledge of mathematics before entering the classroom. Therefore, the state should require the candidates to earn a passing score on either the same test as other elementary teachers or a comparably rigorous one geared to early childhood mathematics content.

Massachusetts recognized the factual accuracy of this analysis.

- Admission into Teacher Preparation
- 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
- 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

**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 reports on teacher preparation, beginning with *No Common Denominator: The Preparation of
Elementary Teachers in Mathematics by America's Education Schools* in 2008
and continuing through the *Teacher Prep
Review *in 2013 have consistently found few teacher preparation programs across
the country 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.

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

An increasing number of states require passage of a mathematics subtest as a condition of licensure., but many states still 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. The test required by Massachusetts remains the standard bearer for a high quality, rigorous assessment for elementary teachers entirely and solely focused on mathematics.

**Elementary Teacher Preparation in Mathematics: Supporting Research**

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 S. Kukla-Acevedo "Do Teacher Characteristics Matter? New Results on the Effects of Teacher Preparation on Student Achievement." *Economics of Education Review*, Volume 28, 2009, pp. 49-57; H. Hill, B. Rowan
and D. Ball "Effects of Teachers' Mathematical Knowledge for Teaching on Student Achievement," *American
Educational Research Journal, *Volume 42, No. 2, Summer 2005, pp. 371-406.

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 "Recommendations for the Reauthorization of the Elementary and Secondary Education Act, Removing the Roadblocks: How Federal Policy Can Cultivate Effective Teachers," (2011).