Implementation of AB 705 in fall 2019 required California community colleges to use high school grade point average (HSGPA) as the main measure of placement and maximize the likelihood of students being placed into transfer-level English and math courses. Since that time, research has shown that with the vast increase in access to transfer-level…

Two studies were conducted to examine and compare the construct validity of scores on the Junior Metacognition Awareness Inventory (JMAI) and problem-solving interview protocols. Participants consisted of 183 middle and high school students attending a university summer program for academically talented youth. Study 1 results indicated that JMAI…

Reasoning and problem solving are both critical acts in mathematics learning. The author has met many teachers who tell her they would love to highlight them more but feel they cannot because of the pressures of content coverage, pacing guides, and district tests. In this article, she describes a teaching intervention that highlighted problem…

Teacher observations have become a national education phenomenon, mandated by federal policies and promoted by philanthropists. They are crucial components of teacher evaluation systems that often have high stakes for teachers and school systems, but have sparked little innovation. Recent calls to make teacher evaluations better, faster, and…

The Mathematical Development Beliefs Survey was developed to measure early childhood teachers' beliefs about mathematics teaching and learning in the preschool classroom. This instrument was designed to measure beliefs concerning (a) age-appropriateness of mathematics instruction, (b) classroom locus of generation of mathematical knowledge…

The purpose of this dissertation is to develop an instrument that can measure teacher beliefs about mathematical discourse as a continuum by exploring and describing qualitatively distinct levels of teacher beliefs, namely, Univocal, Partial Univocal, Emerging Dialogical, and Dialogical. Prior research indicates the importance of understanding…

There is widespread agreement that effective teachers have unique knowledge of students' mathematical ideas and thinking. However, few scholars have focused on conceptualizing this domain, and even fewer have focused on measuring this knowledge. In this article, we describe an effort to conceptualize and develop measures of teachers' combined…

It is important to be able to describe instructional practices accurately in order to support research on "what works" in education and professional development as a basis for efforts to improve practice. This report describes a project to develop procedures for characterizing classroom practices in mathematics and science on the …

NEW INTELLECTUAL APTITUDES WERE INVESTIGATED TO DETERMINE TO WHAT EXTENT THEY INFLUENCE ACHIEVEMENT IN NINTH-GRADE ALGEBRA AND GENERAL MATHEMATICS COURSES. TESTS AND CRITERIA WERE COMPLETED FOR APPROXIMATELY 400 STUDENTS IN THE NINTH GRADE. THEY WERE ENROLLED IN ONE OF FOUR MATHEMATICS COURSES AND ADMINISTERED ACHIEVEMENT EXAMINATIONS UPON…

This paper provides a summary of the authors' attempts to uncover links between their measures, classroom mathematics instruction, and student learning. This paper also provides evidence regarding one central critique of their measures: that multiple-choice assessments cannot validly represent the knowledge, skills, and judgment involved in actual…