Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

Every student has mathematical strengths beyond knowing basic facts, solving problems quickly, or showing work clearly. In this article, the author presents Smiles as an "on-ramp" task that supports students working together by unveiling and leveraging mathematical strengths. Nielsen describes on-ramp mathematics tasks as scaffolds that…

According to the authors, we live in a society that is deeply influenced by technology, and social studies classrooms are ideal places for students to conduct inquiries into timely and relevant technological issues. In this article, the authors describe an approach that can be used across many situations to teach students to think critically about…

This article begins by describing a class scenario in which a teacher gives her students the L problem (Watanabe 2008), which involves finding the area of a composite figure. Her students inappropriately extend the area formula for rectangles (A = L x W) to composite figures by multiplying all given dimensions. After class, the teacher concluded…

This article is prepared as part of a "Practice Teaching in Science" course of a teacher education program aiming for developing prospective science teachers' teaching through inquiry-based instruction involving practices of science and active learning strategies. During the semester, student teachers are required to prepare four…

As with all learners, English learners (ELs) require more than basic reading and writing skills to successfully engage with rigorous academic content, progress through school, and be fully prepared for postsecondary education and careers. ELs must be able to access grade-level content while simultaneously developing proficiency and autonomy in…

The art classroom is abundant with opportunities to develop meaningful questions, including one that constantly drives the author's own teaching practice: How might she best engage middle school students in a generative process of inquiry when interpreting and producing creative visual culture? In 2009, Chris Grodowski began translating research…

How better to begin the study of linear equations in an algebra class than to determine what students already know about the subject? A seventh-grade algebra class in a suburban school undertook a project early in the school year that was completed before they began studying linear relations and functions. The project, which might have been…

The Common Core State Standards and Response to Intervention are significant contemporary educational initiatives that have emerged largely in isolation from one another. We argue that an integration of these initiatives is beneficial. We trace the independent development of these two initiatives and offer suggestions for how they might fruitfully…

Although many English language learners (ELLs) in the United States have knowledge gaps that make it hard for them to master high-level content and skills, ELLs also often have background knowledge relevant to school learning that teachers neglect to access, this author argues. In the Common Core era, with ELLs being the fastest growing population…

Using an article about labor leader Cesar Chavez's grape boycott and hunger strike, students at Stuart-Hobson Middle School in Washington, D.C., are doing a "close read," a skill prized by the new Common Core State Standards being put into practice in the District of Columbia. As an English/language arts teacher in the common-core era,…

To build on prior knowledge and mathematical understanding, middle school students need to be given the opportunity to make connections among a variety of representations. Graphs, tables, algebraic formulas, and models are just a few examples of representations that can help students explore quantitative relationships. As a mathematics educator,…

Through professional development activities involving action research, middle-grades teachers at this author's school learned how to honor students' prior knowledge and experience by finding out about their K-5 computational development. Rather than complaining about what their students did not know, they learned to appreciate results from their…

The Text Feature Walk is a structure created and employed by the authors that guides students in the reading of text features in order to access prior knowledge, make connections, and set a purpose for reading expository text. Results from a pilot study are described in order to illustrate the benefits of using the Text Feature Walk over…

Among social justice efforts to make curriculum more engaging and achieving for "less advantaged" learners, the Funds of Knowledge (FoK) approach, as developed by Moll, Gonzalez and associates (Gonzalez, Moll, & Amanti, 2005; Moll, Amanti, Neff, & Gonzalez, 1992), offers sound conception and a track-record. The Redesigning…