The increasingly neoliberal course of Higher Education is linked to rises in student anxiety around assessment and increased fear of the consequences of failure. Making mistakes is an inevitable part of any learning process (and of life generally) and managing failure in a productive and positive way is crucial for success and wellbeing beyond…

This study explored the use of an innovative instructional approach called Productive Failure (PF) to design an educational game and its support. The study then examined the effects of two different types of instruction--PF vs. Direct Instruction (DI)--on learning genetics and relevant mathematical knowledge in a Game-Based Learning (GBL)…

Productive Failure (PF) is an instructional design that implements a problem-solving phase which aims at preparing students for learning from a subsequent instruction. PF has been shown to facilitate students' conceptual knowledge acquisition in the mathematical domain. Collaboration has been described as a vital design component of PF, but…

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

Productive Failure is an instructional approach in which students engage in problem-solving attempts prior to instruction. The Productive Failure approach has been found to be more supportive for conceptual knowledge acquisition during subsequent instruction compared to a direct-instruction condition in which students receive instruction first…

Background: Although the generation of errors has been thought, traditionally, to impair learning, recent studies indicate that, under particular feedback conditions, the commission of errors may have a beneficial effect. Aims: This study investigates the teaching strategies that facilitate learning from errors. Materials and Methods: This 2-year…

Interactive tasks designed to elicit real-life problem-solving behavior are rapidly becoming more widely used in educational assessment. Incorrect responses to such tasks can occur for a variety of different reasons such as low proficiency levels, low metacognitive strategies, or motivational issues. We demonstrate how behavioral patterns…

Background and Context: Productive failure (PF) is a learning paradigm that flips the order of instruction: students work on a problem, then receive a lesson. PF increases learning, but less is known about student emotions and collaboration during PF, particularly in a computer science context. Objective: To provide insight on students' emotions…

The Productive Failure (PF) approach prompts students to attempt to solve a problem prior to instruction -- at which point they typically fail. Yet, research on PF shows that students who are involved in problem solving prior to instruction gain more conceptual knowledge from the subsequent instruction compared to students who receive the…

A frequent concern about constructivist instruction is that it works well, mainly for students with higher domain knowledge. We present findings from a set of two quasi-experimental pretest-intervention-posttest studies investigating the relationship between prior math achievement and learning in the context of a specific type of constructivist…

Mathematics is traditionally taught using direct instruction, which has been found to engender negative affective responses towards the subject, including anxiety and low self-efficacy (Borko et al., 1992; Mischo & Maas, 2013). Direct instruction places authority on the instructor and involves teaching students about mathematics instead of…

Although people attempt many creative problem solutions, in general, most creative problem-solving efforts, at least real-world efforts, fail. In the present effort, we examine the reasons creative problem-solving efforts typically fail. We argue that creative problem-solving efforts fail, in part, due to the fundamental nature of the kinds of…

The sentiment that creativity is the most important skill needed to solve the problems that we face is repeated by different business and industry leaders around the world (Bronson & Merryman, 2010; NEA, n.d.; Nussbaum et al., 2005; Sammio, 2017). The call for creativity has been amplified in response to the problems and obstacles caused by…

STEM education, which means integrated thinking, attracts the attention of early childhood educators and researchers. Engineering education, which naturally serves STEM integration, contributes to children's problem-solving skills with failure analysis and continual improvement habits of mind. Children need adult support in this process due to…

Studies on the productive failure (PF) approach have demonstrated that attempting to solve a problem prepares students more effectively for later instruction compared to observing failed problem-solving attempts prior to instruction. However, the examples of failure used in these studies did not display the problem-solving-and-failing…