An important component of intermediate and college algebra courses involves teaching students methods to factor a trinomial with integer coefficients over the integers. The aim of this article is to present a theoretical justification of that which is often taught, but really never explained as to why it works. The theory is presented, and a…

Insects are fascinating creatures--especially when you and your students get up close and personal with them! To that end, the authors facilitated an inquiry-based investigation with an emphasis on identification of the different types of insects found in the school yard, their characteristics, their habitat, and what they eat, while engaging the…

This study reports on the types of academic talk that contribute to enhanced explanatory responses, reasoning, problem-solving and learning. The study involved 10 groups of 3-4 students who were provided with one of three linguistic tools (i.e. Cognitive Questioning, Philosophy for Children and Collaborative Strategic Reading (CSR)) to scaffold…

A great number of teachers in the United States have found themselves wrestling with an internal conflict between their teaching beliefs and a need to revert back to traditional modes of teaching in order to have their students demonstrate proficiency on high-stakes tests. While they want to include more non-traditional methods in their repertoire…

In the advent of the development and mass adoption of the common core state standards for English language arts and mathematics, state and local agencies have now expressed a need to the Council of Chief State School Officers (CCSSO or the Council) for assistance as they upgrade existing social studies standards to meet the practical goal of…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

This paper reports on a study that was conducted on the effects of training students in specific strategic and meta-cognitive questioning strategies on the development of reasoning, problem-solving, and learning during cooperative inquiry-based science activities. The study was conducted in 18 sixth grade classrooms and involved 35 groups of…

Using a computer-based scientific discovery learning environment on buoyancy in fluids we investigated the "effects of goal specificity" (nonspecific goals vs. specific goals) for two goal types (problem solving goals vs. learning goals) on "strategy use" and "instructional efficiency". Our empirical findings close an important research gap,…

With the expanding availability and capability of varied technologies, classroom-based problem solving has become an increasingly attainable, yet still elusive, goal. Evidence of technology-enhanced problem-solving teaching and learning in schools has been scarce, understanding how to support students' problem solving in classroom-based,…

We need to come together as a team and become one system of total quality improvement regarding the education of our nation's children. In order to achieve a gold standard in the education of our nation's children, leadership has to be willing to go against the status quo and build bridges for long-term sustainable change. In order to survive,…

In this article, which includes three video clips, the author argues that the small experiments, inventions, strategies, and pauses in young children's play seen in the clips reveal a legitimate form of scientific thinking. He notes that science and play both represent a frame of mind, an attitude toward the events one observes. (Contains 3…

Project-Based Learning (PBL) is an innovative approach to learning that teaches a multitude of strategies critical for success in the twenty-first century. Students drive their own learning through inquiry, as well as work collaboratively to research and create projects that reflect their knowledge. From gleaning new, viable technology skills, to…

Middle school students often struggle when writing testable problems, planning valid and reliable procedures, and drawing meaningful evidence-based conclusions. To address this issue, the author created a student-centered lab handout to facilitate the inquiry process for students. This handout has reduced students' frustration and helped them…

Recent initiatives in the laboratory curriculum have encouraged an inquiry-based approach to learning and teaching in the laboratory. It has been argued that laboratory instruction should not just be hands-on, but it should portray the essence of inquiry through the process of experiential learning and reflective engagement in collaboration with…

The study aimed to determine the comparative effectiveness of context-based and traditional teaching approaches in enhancing student achievement in genetics, problem-solving, science inquiry and decision-making skills, and attitude towards the study of life sciences. A mixed method but essentially quantitative research approach involving a…