Paul Ginns

It would be so much better if we taught two ways. Here’s why

From one school year to the next, students experience an escalation in the amount and difficulty of schoolwork. 

Researchers have tried to identify instructional approaches which would  reduce the cognitive burden on students, especially when they are in the early stages of learning—such as when they start a new academic year, a new subject, a new topic, etc. (Martin & Evans, 2018). 

Cognitive load theory (CLT) has outlined major tenets of instruction that can help manage the cognitive burden on students as they learn (Sweller, 2012). Drawing on key ideas under CLT, a recent practice-oriented instructional framework was developed—referred to as “load reduction instruction” (LRI; Martin, 2016). 

LRI is a pedagogical approach seeking to balance explicit instruction with independent learning as appropriate to the learner’s level of knowledge and skill. Through this balance, the cognitive load on students is eased as they learn. 

LRI has been examined in STEM classrooms, with results showing it is associated with positive academic outcomes in mathematics (Martin & Evans, 2018) and in science (Martin et al., 2020). In a new study published in Contemporary Educational Psychology (Martin et al., 2023), we expanded this research to the non-STEM domain by investigating LRI in English classrooms. 

What is load reduction instruction (LRI)?

LRI’s principles have been developed to accommodate students’ working memory and long-term memory (Martin & Evans, 2018). Working memory is a space for information that students are consciously and currently aware of, and where they focus their present attention (Baddeley, 2012). Working memory is very limited in duration and capacity—e.g., a retention of around three to five  items (Cowan, 2010). In contrast, long-term memory has substantial duration and capacity. Long-term memory is where information is encoded so it can be retrieved later (Baddeley, 2012). 

Learning is said to occur when information is moved from working memory and encoded in long-term memory (Sweller, 2012), for later retrieval and use. 

If students’ working memory is over-burdened, they are at risk of misunderstanding the content, falling behind in the lesson, or learning only part of the necessary knowledge or skill. Given this, researchers have suggested that explicit instruction should be applied in the early stages of learning to reduce the cognitive burden on students when they are novices (Mayer, 2004). Then, as students develop the necessary knowledge and skill, they move to more independent learning (Kalyuga, 2007). LRI adopts these guidelines to comprise the following five principles (see Figure 1):

  • Principle #1: Difficulty reduction in the initial stages of learning, as appropriate to the learner’s level of prior knowledge and skill
  • Principle #2: Support and scaffolding
  • Principle #3: Structured practice
  • Principle #4: Feedback-feedforward, combining corrective information with specific improvement-oriented guidance 
  • Principle #5: Guided independent application

Figure 1. Load Reduction Instruction (LRI) Framework – adapted with permission from Martin (2016).

Extending LRI to English

There is a  reason for the early focus on maths for LRI research. Maths is taught in a highly sequenced way, where each task escalates in difficulty. That particular set of attributes was considered a good initial test for the sequenced and scaffolded instructional approaches for which LRI argues.

Following “proof of concept” in mathematics (Martin & Evans, 2018), the focus moved to science because it was considered a highly challenging (cognitively burdensome) subject for many students and also amenable to sequenced linear, structured, and scaffolded instruction—such as LRI (Martin et al., 2020). Both sets of studies confirmed the five principles of LRI in mathematics and science and significant links between LRI and students’ motivation, engagement, and achievement. 

These were promising findings so researchers sought to explore LRI in non-STEM subjects — especially in subjects where challenging tasks can be less well-defined and relatively more unstructured, such as in English, where it can be harder to sequence an escalation in difficulty, than in mathematics, for example. In our new study we explored LRI in English (and mathematics). 

Our Study Methods

Participants were 1,773 high school students and their teachers in 94 English and 93 mathematics classrooms. Students were in years seven to 10, with an average age of 14 years. Nearly 60 per cent of the cohort were boys. Just over 60 per cent of the schools were single sex, all in independent schools in NSW. In both English and mathematics, women comprised just over 60 per cent of the teachers. Average years of experience for English teachers was 13 years and for mathematics teachers was 15 years. In English and mathematics classrooms, we administered: the Load Reduction Instruction Scale – Short (LRIS-S; Martin et al., 2020) to students and teachers (a survey tool capturing the five LRI principles in a classroom); a measure of students’ prior learning; students’ effort by way of the Effort Scale – Short (Nagy et al., 2022); and students’ achievement in each subject via an achievement test.

What Did We Find?

We found that student- and teacher-reports of LRI practices were associated with greater student effort and achievement in English and in mathematics. The findings extend prior research in STEM subjects by showing there are also academic benefits in English when load reduction instruction occurs. As described earlier, students with low prior learning need more help to ease cognitive load (Sweller, 2012) and our study confirmed this in both English and mathematics, with teachers mainly doing so via Principle #1 (difficulty reduction).

Concluding Thoughts

For decades there has been some tension between predominantly explicit instructional approaches and predominantly constructivist approaches (Tobias & Duffy, 2009). 

Our findings suggest that framing the two as mutually exclusive may impede student learning. Under LRI, both are compatible, including in English and mathematics: after reducing the burden on working memory via explicit approaches, teachers can encourage students to apply that knowledge and skill in more independent ways as appropriate to their students’ levels of competence (see also Kalyuga, 2007). Taken together, our study provides a more comprehensive perspective on LRI as relevant to the subjects and classrooms within which instruction and learning take place.

Andrew Martin, PhD, is Scientia Professor, Professor of Educational Psychology, and Co-Chair of the Educational Psychology Research Group in the School of Education at the University of New South Wales, Australia. He specialises in student motivation, engagement, achievement, and quantitative research methods.

Paul Ginns is Associate Professor of Educational Psychology in the School of Education and Social Work at the University of Sydney. Paul uses numerous research methodologies (for example, experimental and survey-based research) and analytic methods, including general linear models, exploratory and confirmatory factor analysis, structural modelling and meta-analysis, to investigate student learning.

Robin Nagy is a PhD candidate in Educational Psychology at the University of NSW. His PhD focuses on high-school students’ academic effort. Robin has over 25 years’ experience as a teacher and in school leadership, having taught in the UK, Thailand and Australia, and as a Professional Learning Consultant for the Mathematical Association of NSW.

Rebecca Collie, Ph.D., is Scientia Associate Professor in Educational and Developmental Psychology at the University of NSW. Her research interests focus on motivation and well-being among students and teachers, psychosocial experiences at school, and quantitative research methods.

Keiko Bostwick, PhD, is a Research Officer in the School of Education at the University of New South Wales, Australia. She specialises in student motivation, teacher and classroom effects, and quantitative research methods.

Personal Best: how setting PB goals can significantly improve student performance

Setting a personal best goal within every-day classroom activities can improve student performance and, significantly, it can be achieved through a very simple change to an existing classroom exercise.

Results of our latest research study on setting personal best goals, by our team from the University of New South Wales and University of Sydney, may have a broad application across all classrooms.

We used classroom-based problem-solving exercises and made just one simple change to instructions given to students. While we used a mathematic exercise in this instance, we believe any teacher of any subject could use this technique in any classroom.

What does setting a personal best goal involve?

Definition of personal best (PB) goals

Scientia Professor and Professor of Educational Psychology at the University of New South Wales, Andrew Martin, has defined personal best (PB) goals as specific, challenging, and competitively self-referenced goals that involve a level of performance that meets or exceeds an individual’s previous best.

Setting goals and our previous studies

Most of the available research on personal best goals has been survey-based. For example, in an earlier study we surveyed 249 high school students twice across a year about their use of PB goals using responses to PB questions (e.g., “When I do my schoolwork I try to do it better than I’ve done before”). We found that the relationships between PB goals and deep learning, academic flow, and positive teacher relationship remained significant beyond their previous scores on these factors. We believe these results support the importance of PB goals in school settings.

More recent investigations have tested the effects of PB goal setting using experimental research methods. In the context of an annual mathematics contest, Professor Martin and professor of psychology at the University of Rochester, Andrew Elliot, invited some students to set a PB goal based on their previous year’s performance, while others were simply reminded of their previous year’s performance. Students in the PB goal condition substantially outperformed the control condition.

Experimental investigations such as this provide strong tests of causal hypotheses (where you can predict what will happen when you change one thing in a relationship). In this case, we could predict that PB goals act to enhance learning processes and/or outcomes for students.

Our latest study

Our latest study aimed to test whether PB goals can enhance mathematics performance in a primary school context, using an existing class activity, SuperSpeed Math, developed by Chris Biffle of Whole Brain Teaching.

In this study, we aimed to boost short-term improvement in arithmetical problem-solving fluency, across a range of arithmetical skills, under time pressure to build number fluency.

Describing how the design of SuperSpeed Math incorporates PB goals, Biffle argues:

Students love to play SuperSpeed Math because they love to strive for goals and to set and break personal records. Players are never competing against each other, but against their own previous best effort. Thus, the learning objective is set at exactly the right level, no matter a player’s ability.

What we did

Our study involved 68 children across Years 5 (35 students) and Year 6 (33 students) who chose to participate. A research assistant worked with each child for approximately 35-40 minutes.

Students began by completing a short paper-based questionnaire to gauge

(a) their prior ability in mathematics,

(b) their use of and the classroom emphasis on Personal Best, Mastery, and Performance (competitive) goals in learning mathematics;

(c) their mathematics self-concept; and

(e) students’ valuing of and interest in mathematics.

Students were then randomly assigned to the Personal Best condition (compete against your own previous Personal Best score on mental maths questions), and a No Goal comparison condition. In the first round of a set of mental maths, students would follow these instructions:

“We’re now going to do some mental maths questions. This is how we’ll work together.

I’m going to give you some sheets of paper with mental maths questions on them. For each sheet of questions, your task is to answer as many questions as you can in 60 seconds.

I’ll give you some feedback on how many you got correct, then we’ll go through that sheet of questions again. Please start with the questions on the top row, going from left to right, then the second row from left to right, and so on.”

For the PB condition, after each initial 1-minute attempt at a set of initial test questions (e.g., on addition), the researcher gave the following instructions:

“OK, your score on these addition questions was [X]. This is your Personal Best score. Now we’re going to do these questions again, and I would like you to set a goal where you aim to do better on these questions than you did before.”

For the students in the comparison condition, the only difference to the experimental (PB) condition was that students in the condition were informed,

“OK, your score on these [addition] questions was [X]. Now we’re going to do these questions again”.

All students completed 10 sets of two rounds of arithmetic problem-solving, that is 20 rounds in total.

Results

As expected, there were no statistically reliable differences between the two groups on the “pre-experiment” prior mathematics ability test or self-reports on Personal Best, Mastery, and Performance goals.

Our primary research question focused on the number of mental mathematics questions solved by the two groups. We found a small but statistically reliable difference between the two groups in favour of the Personal Best goals group.

Our study shows that setting a Personal Best goal during classroom-based problem-solving exercises improves performance.

What does this mean for teaching and learning?

We believe these results may have broad application in classrooms. Although the effect of setting a PB goal was relatively small, it was achieved through a very simple change to an existing classroom exercise.

John Hattie has argued small effects may still be practically important when considered in context. In our study, we aimed to boost short-term improvement in arithmetical problem-solving fluency, across a range of arithmetical skills, under time pressure to build number fluency.

A large change to such a complex skill-set probably won’t happen through a ‘one-shot’ intervention. Instead, students will engage in such fluency-building activities many times over the course of weeks or even months. We believe the small effect found in our study can be the start of a “virtuous cycle” of enhanced learning and performance. Beyond exercises like SuperSpeed Math, PB goals can potentially play a number of roles in students’ goal-setting and school reporting.

Our study focused on Personal Bests in mental maths, but there are many opportunities to set and strive for Personal Bests in other subjects and skill-sets. For example, students may strive to spell more words correctly in a forthcoming spelling test than they had in the previous test; they may aim to read an extra book or resource for an assignment than they had done before; before a test they may do some revision over the weekend when they previously had done none; or, they may aim to ask a teacher for help when they had previously been reluctant to do so. In all such cases, students are their own benchmark and their own point of reference for self-improvement.

More broadly, these findings are consistent with a “growth mindset”, which holds that every child is capable of learning given the right opportunities, access to productive strategies, effort, and support.

 

Here is our paper in the Australian Education Researcher Personal Best (PB) goal-setting enhances arithmetical problem-solving 

If you would like to know more about our Growth Mindset work please visit the Growth Mindset site

 

 

Paul Ginns is Associate Professor of Educational Psychology in the School of Education and Social Work at the University of Sydney. Paul uses numerous research methodologies (for example, experimental and survey-based research) and analytic methods, including general linear models, exploratory and confirmatory factor analysis, structural modelling and meta-analysis, to investigate student learning.

 

 

 

Professor Andrew Martin, PhD, is Scientia Professor, Professor of Educational Psychology, and Co-Chair of the Educational Psychology Research Group in the School of Education at the University of New South Wales, Australia. He specialises in student motivation, engagement, achievement, and quantitative research methods.