The developing pedagogical content knowledge of elementary-certified teachers was supported in a course on concepts in algebra and calculus. Engineering thermodynamics was used as a domain through which participants could model rate-of-change for a variety of functions. The design of the professional development course is examined, and teachers'…

One of the basic components of algebraic thinking is functional thinking. Functional thinking involves focusing on the relationship between two (or more) varying quantities and such thinking facilitates the studies on both algebra and the notion of function. The development of functional thinking of students should start in the early grades and it…

This paper reports on different underlying structures of the derivative schema of three undergraduate students that were considered to be at the trans level of development of the derivative schema (action-process-object-schema). The derivative schema is characterized in terms of the students' ability to explicitly transfer the relationship between…

In this article, we present the results from a longitudinal examination of the impact of a "Standards"-based or reform mathematics curriculum (called CMP) and traditional mathematics curricula (called non-CMP) on students' learning of algebra using various outcome measures. Findings include the following: (1) students did not sacrifice…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

This report provides information on Austin Independent School District's bilingual and English as a Second Language programs implemented in 2016-2017, summarizing the numbers of students served, and students' language acquisition and academic performance.

For over 30 years, the Department has published the Annual Condition of Education (COE) report in order to provide education stakeholders quality information about the status of Iowa's education system. The 2020 COE covers a wide variety of content from information about Iowa's students, schools, educators, administrators, performance and school…

In 2007 Georgia instituted a flexibility policy through which school districts enter into performance contracts with the state, receiving waivers from state rules, provisions, and guidelines in exchange for agreeing to meet annual accountability targets. The performance contracts are intended to incentivize innovations that increase achievement…

These are the appendixes for the report, "District Changes in Student Achievement and Local Practice under Georgia's District and School Flexibility Policy." Five appendixes are included in the document: (1) About the study; (2) Data and methods; (3) Supporting analysis; (4) Survey instrument; and (5) Interview protocol. [For the full…

Peer-led Team Learning (PLTL) is an instructional method reported to increase student learning in STEM courses. As mathematics is a significant hurdle for many freshmen engineering students, a PLTL program was implemented for students to attempt to improve their course performance. Here, an analysis of PLTL for freshmen engineering students in…

The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…

This paper investigates the possible influence of attitude on seven Year 11 students' use of a Computer Algebra System (CAS) during a class activity where students could choose to use CAS or pen-and-paper in solving a range of problems. Investigation of anxiety, confidence, liking and usefulness through a survey and interview revealed that these…

Trends in the curriculum reform propose that algebra should be taught throughout the grades, starting in elementary school. The aim should be to decrease the discontinuity between the arithmetic in elementary school and the algebra in upper grades. This study was conducted to investigate and characterise upper elementary school students…

Students frequently have difficulty determining whether a given real-life situation is best modeled as a linear relationship or as an exponential relationship. One root of such difficulty is the lack of deep understanding of the very concept of "rate of change." The authors will provide a lesson that allows students to reveal their misconceptions…

The primary goal of the study presented in this dissertation is to describe 11th-graders' understandings, through different representations, of: (1) the definition of function, (2) the production of a function, and (3) the interpretation of a function. In addition, this dissertation seeks to describe the relationship between 11th-graders' scores…