The composite instructional design PS-I combines an initial problem-solving phase (PS) with a subsequent explicit instruction phase (I). PS-I has proven effective for conceptual learning in comparison to instructional designs with the reverse order (I-PS), especially when the explicit instruction phase productively builds on students' erroneous or…

Prior research has shown that Productive Failure (PF), where learners attempt (and fail) to solve a problem prior to receiving instruction, is more effective for conceptual knowledge acquisition than receiving instruction first (Direct Instruction; DI). Higher diversity in generated solution attempts seemed positively associated with conceptual…

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…

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…

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…

Academic failure is commonplace in higher education. Some students persist and go on to complete their courses. However, some do not, and this can create problems for themselves and the institutions in which they are enrolled. If we could understand students' lived experiences of academic failure and persistence, it may be possible to design…

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…

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…

Being able to learn from failure is a fundamental skill for a scientist, as scientists often learn from failure in practical work by trialling and refining experimental designs, improving calibration techniques, and hypothesising and testing expected outcomes. This qualitative, practice-based study describes how junior secondary science teachers…

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…