Mechanistic reasoning, or reasoning systematically through underlying factors and relationships that give rise to phenomena, is a powerful thinking strategy that allows one to explain and make predictions about phenomena. This article synthesizes and builds on existing frameworks to identify essential characteristics of students' mechanistic…

In this work we examined the content of approximately 950 mathematics questions used in measuring achievement among 4th, 5th and 6th graders in the US in an attempt to determine how the current standardized examinations, which were developed to reflect new national curricular mandates, compared to the old measures used for the same purpose. Using…

"Saxon Math", published by Houghton Mifflin Harcourt, is a core curriculum for students in grades K-12. This report includes studies that investigate the potential impact of "Saxon Math" for students in grades 6-8. A distinguishing feature of the curriculum is its use of an incremental approach for instruction and assessment.…

"Saxon Math" is a textbook series covering grades K-12 based on incremental development and continual review of mathematical concepts to give students time to learn and practice concepts throughout the year. The series is aligned with standards of the National Council of Teachers of Mathematics (NCTM) and various states, and can be…

K-8 centers combine grades in one location or school that are usually assigned to a separate elementary (K-5) and middle school (6-8). In 1998 the School Board of Miami-Dade County, Florida, approved a pilot program to introduce to the district the concept of K-8 centers. Miami-Dade County Public Schools (MDCPS) initiated two K-8 centers during…

Cognitive/Academic Language Proficiency (CALP) is a construct developed by linguists that distinguishes everyday conversational language and language used in literature and on academic tests. The "No Child Left Behind Act" has created impetus for scientifically researched pedagogy that serves to increase academic achievement of groups…