Rutherford, Kitty Carrow (2017-12). Guiding Classroom Instruction Through Formative Mathematics Assessment. Doctoral Dissertation. Thesis uri icon

abstract

  • In North Carolina, Local Education Agencies (LEA) control the curriculum resources used to teach and assess the state mathematics standards. Districts that have funds can purchase costly commercially-made assessments which may or may not align to the standards. When using commercial materials feedback is typically not provided in a timely or useful manner that allows for effective changes in classroom instruction. Districts without the funds use teacher created assessments which again may or may not align to standards and the results may or may not be interpreted in a way that easily informs classroom practices. The quality of the commercial or teacher-made assessments typically are comprised of items that tend to have a low cognitive demand, focused on recall, and in a format, that does not mirror the state-created high-stakes Endof- Grade (EOG) assessments. According to most district leaders, many teachers do not value or understand how to use the results of commercial or district made assessments to formatively guide classroom instruction and improve student learning outcomes in mathematics. In this study, a mixed methods approach is used to research minimum increases in students' mathematics proficiency levels. The quantitative portion of this study focuses on the extant data of mathematics proficiency level scores. The qualitative portion focuses on data collection through interviews with teachers to better understand how teachers used the quarterly assessments to guide classroom instruction. iii To explore a possible solution to the problem of minimum increase in student mathematics proficiency levels, the North Carolina (NC) Department of Public Instruction's accountability division developed state formative quarterly assessments. These assessments are highly aligned to the mathematics standards, have high cognitive demanding items, provide timely feedback and use the same format as the high stakes state EOG assessments. Teachers from six different schools were interviewed. Interviews were coded and themes evolved. The teachers who demonstrated substantial student proficiency level growth had a solid understanding of the purpose of formative assessments and how to use the data to guide classroom instruction. They felt the use of the formative assessments' feedback changed their classroom instruction significantly and helped them to build a deeper understanding of the standards themselves. The teachers collaboratively planned and used error analysis to focus on interventions and enrichment. They realized students needed to make sense of problems and to explain their thinking and reasoning to build a deeper mathematical understanding. Teachers made changes in their teaching practices by focusing more on application, not just on computation. Teachers also realized they had to change their instruction by providing high cognitive demanding tasks daily. Their willingness to use the state-created formative assessments to make change improved student mathematics proficiency levels.
  • In North Carolina, Local Education Agencies (LEA) control the curriculum
    resources used to teach and assess the state mathematics standards. Districts that have
    funds can purchase costly commercially-made assessments which may or may not align
    to the standards. When using commercial materials feedback is typically not provided in
    a timely or useful manner that allows for effective changes in classroom instruction.
    Districts without the funds use teacher created assessments which again may or may not
    align to standards and the results may or may not be interpreted in a way that easily
    informs classroom practices. The quality of the commercial or teacher-made
    assessments typically are comprised of items that tend to have a low cognitive demand,
    focused on recall, and in a format, that does not mirror the state-created high-stakes Endof-
    Grade (EOG) assessments. According to most district leaders, many teachers do not
    value or understand how to use the results of commercial or district made assessments to
    formatively guide classroom instruction and improve student learning outcomes in
    mathematics.
    In this study, a mixed methods approach is used to research minimum increases in
    students' mathematics proficiency levels. The quantitative portion of this study focuses
    on the extant data of mathematics proficiency level scores. The qualitative portion
    focuses on data collection through interviews with teachers to better understand how
    teachers used the quarterly assessments to guide classroom instruction.
    iii
    To explore a possible solution to the problem of minimum increase in student
    mathematics proficiency levels, the North Carolina (NC) Department of Public
    Instruction's accountability division developed state formative quarterly assessments.
    These assessments are highly aligned to the mathematics standards, have high cognitive
    demanding items, provide timely feedback and use the same format as the high stakes
    state EOG assessments.
    Teachers from six different schools were interviewed. Interviews were coded and
    themes evolved. The teachers who demonstrated substantial student proficiency level
    growth had a solid understanding of the purpose of formative assessments and how to
    use the data to guide classroom instruction. They felt the use of the formative
    assessments' feedback changed their classroom instruction significantly and helped them
    to build a deeper understanding of the standards themselves. The teachers
    collaboratively planned and used error analysis to focus on interventions and
    enrichment. They realized students needed to make sense of problems and to explain
    their thinking and reasoning to build a deeper mathematical understanding. Teachers
    made changes in their teaching practices by focusing more on application, not just on
    computation. Teachers also realized they had to change their instruction by providing
    high cognitive demanding tasks daily. Their willingness to use the state-created
    formative assessments to make change improved student mathematics proficiency levels.

publication date

  • December 2017