Inquiry is an approach that promotes engagement, motivation and learning, and which involves use of cognitive knowledge, bodily experience and communicative skills. Usually the inquiry method with skills like observations, planning, investigations, experimenting and drawing conclusions is related to natural sciences, but this paper describes an…

When teaching algebra concepts to middle school students, the author often hears questions that echo her own past confusion as a young student learning to write linear equations using data tables that show only input and output values. Students, expected to synthesize the relationship between these values in symbolic representation, grow…

This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…

This practical lesson describes how students in six eighth grade science classes participated in a lesson combining the National Core Arts Standards with the Next Generation Science Standards. The goal of the lesson was to provide visual representations of finch beak form and function so students could better understand genetic variation and how…

Literacy learning clubs are highly motivating small-group collaborations that can improve tweens' and teens' academic achievement, support their social-emotional development, and increase their enjoyment of reading and writing. This book explains the research basis for the author's approach and offers practical instructions for implementation in…

The National Assessment of Educational Progress (NAEP), first administered in 1969, is the largest nationally representative and continuing assessment of what the nation's students know and can do in various subjects such as civics, geography, mathematics, reading, science, U.S. history, and writing. The results of NAEP are released as The…

Since the 1950s, the understanding of how the base 10 system works has been encouraged through alternative base systems (Price 1995; Woodward 2004). If high school students are given opportunities to learn other base systems and analyze what they denote, we believe that they will better understand the structure of base 10 and its operations…

The Regulations of the Commissioner of Education provide that an intermediate-level science test is to be administered in Grade 8 to serve as a basis for determining students' need for academic intervention services in science. The New York State Grade 8 Intermediate-Level Science Test consists of two required components: a Written Test and a…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

The reading framework for the 2017 NAEP describes the types of texts and questions that should be included in the assessment, as well as how the questions should be designed and scored. The assessment measures students' reading comprehension and ability to apply vocabulary knowledge by having them read passages in English and answer questions…

Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In…

Creating classroom book clubs with e-readers helps connect adolescent interests, digital literacies, and content area academic goals.

Significant numbers of adolescents and young adults do not adequately understand complex texts, impeding their school success, access to postsecondary learning, and opportunities within an increasingly competitive work environment. National data (National Assessment of Educational Progress [NAEP], 2015) have shown improvements among fourth- and…

To help middle school students make better sense of decimals and fraction, the author and an eighth-grade math teacher worked on a 90-minute lesson that focused on representing repeating decimals as fractions. They embedded experimentations and explorations using technology and calculators to help promote students' intuitive and conceptual…

Students engage in proportional reasoning when they use covariance and multiple comparisons. Without rich connections to proportional reasoning, students may develop inadequate understandings of linear relationships and the equations that model them. Teachers can improve students' understanding of linear relationships by focusing on realistic…