The state should ensure that new elementary teachers have sufficient knowledge of the mathematics content taught in elementary grades. This goal was consistent between 2015 and 2017.
Mathematics Content Test Requirements: Montana requires that all new elementary teachers pass the Praxis II Elementary Education: Content Knowledge (5018) test. This commercial test lacks a specific mathematics subscore, so one can 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.
Passage of the test is one part of three requirements for Montana's Assessment of Content Knowledge Verification.
A candidate's student teaching/clinical practice score, content knowledge assessment score, and overall GPA factor into an overall content knowledge score between one and ten.
Mathematics Preparation Standards: Montana has articulated teaching standards that its approved teacher preparation programs must use to frame instruction in elementary mathematics content. The state's standards address content in mathematics foundations, but although they mention areas such as algebra, geometry and statistics, the standards lack the specificity needed to ensure that teacher preparation programs deliver mathematics content of appropriate breadth and depth to elementary teacher candidates.
Administrative Rules of Montana 10.58.532 Montana Assessment of Content Knowledge (MACK) http://opi.mt.gov/Leadership/Assessment-Accountability/Educator-Preparation/IR-Templates
Require all teacher candidates who teach elementary grades to pass a rigorous mathematics assessment.
Montana should assess mathematics content with a rigorous assessment tool, such as the Massachusetts Tests for Educator Licensure (MTEL) mathematics test, which 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. To help ensure that all students are taught by a teacher who has demonstrated adequate mathematics content knowledge, teacher candidates who lack this knowledge should not be eligible for licensure.
Require teacher preparation programs to provide mathematics content specifically geared to the needs of elementary teachers.
Montana must ensure that new teachers are prepared to teach the mathematics content required by college- and career-readiness standards. Although Montana requires some coursework in mathematics, the state 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 coursework. To help ensure that all students are taught by a teacher with adequate mathematics content knowledge, teacher candidates who lack this knowledge should not be eligible for licensure.
Montana recognized the factual accuracy of this analysis, however this analysis was updated subsequent to the state's review.
2B: Teaching Elementary Mathematics
Required math coursework should be tailored in both design and delivery to the unique needs of the elementary teacher. Aspiring elementary teachers must 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 is 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."
States' policies should require preparation in mathematics of appropriate breadth and depth and specific to the needs of the elementary teacher. Reports by NCTQ on teacher preparation, beginning with No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America's Education Schools (2008) and continuing through the Teacher Prep Review, have consistently found few elementary 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, in some cases 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 content but not at an elementary level. Instead, problems should challenge the teacher candidate's understanding of underlying concepts and apply knowledge in nonroutine, multistep procedures. The MTEL test required by both Massachusetts and North Carolina remains the standard bearer for a high quality, rigorous assessment for elementary teachers entirely and solely focused on mathematics.