To be successful in the workplace of the 21st century, individuals must not only have an extensive store of knowledge, but also must know how to keep that knowledge current, apply it to solve novel problems, and function as a member of a team. This modern view of the workplace has compelled many educators to rethink the ways in which students are…

This paper reports results of a qualitative study of sixteen students enrolled in a second year organic chemistry course for chemistry and chemical engineering majors. The focus of the study was student use of the arrow-pushing formalism that plays a central role in both the teaching and practice of organic chemistry. The goal of the study was to…

Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…

Poor math performance is a major concern leading the current educational reform agenda. Many educational math critics are claiming a math crisis. Researchers and school personnel are trying to resolve this crisis. Some are looking at curriculum-based evaluation (CBE) as a process for solving this problem. CBE and curriculum-based measurement (CBM)…

How can current findings in neuroscience help educators identify particular cognitive strengths in students? In this commentary on Immordino-Yang's research regarding Nico and Brooke, I make 3 primary assertions: (a) the cognitive science community needs to develop an accessible language and mode of communicating applicable research to educators,…

This article describes one seventh-grade teacher's classroom efforts to integrate traditional exercises from different content areas to form more robust questions that provide genuine problem-solving opportunities for students. These exercises are illustrated by connecting the Pythagorean theorem with a variety of prealgebra topics. Since the…

"Dora the Explorer" is a twenty-three-minute television program for preschoolers viewed by millions every day in many countries. These programs are also marketed as videotapes and DVDs. This seven-year-old Latina, bilingual cartoon character teaches many things by interacting with the young viewers. On every program Dora and friends have to go…

Using sticky notes and number lines, a hands-on activity is shared that anchors initial student thinking about absolute value. The initial point of reference should help students successfully evaluate numeric problems involving absolute value. They should also be able to solve absolute value equations and inequalities that are typically found in…

A central theme of the "National Science Education Standards" is teaching science as an inquiry process, allowing students to explore an authentic problem using the tools and skills of the discipline. Research indicates that more active participation by the student, which usually requires higher-order thinking skills, results in deeper learning.…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

Although the theoretical benefits of feedback are generally well established, in practice those benefits can be less than clear. This is particularly the case on shorter courses, where students have limited scope to integrate feedback into future assessment performance. If we accept that one of the key purposes of feedback is to encourage students…

In this dissertation, I present my attempts at designing an elementary mathematics methods course to support prospective teachers in developing an understanding of how to teach all students in learning powerful mathematics. To do this, I introduced them to teaching mathematics for equity and social justice by discussing ways to support students'…

The author was asked to develop a list of actions that teachers could take to build students' mathematics abilities. Too many students fail to graduate and fail to pass state assessments as a result of weak mathematics skills. Even many students who do graduate leave high school lacking sufficient understanding of mathematics to pass college…

In this paper the augmentation of worked examples with animations for teaching problem-solving skills in mathematics is advocated as an effective instructional method. First, in a cognitive task analysis different knowledge prerequisites are identified for solving mathematical word problems. Second, it is argued that so called hybrid animations…

The paper discusses the boundary in the frequency-amplitude plane for boundedness of solutions to the forced spring Duffing type equation x[umlaut] + x + [epsilon]x[cubed] = F cos[omega]t. For fixed initial conditions and for representative fixed values of the parameter [epsilon], the results are reported of a systematic numerical investigation…