Areas of research

After moving to the University of Pittsburgh, Singh gradually transitioned to physics education research and has been conducting cutting-edge research to improve the learning of physics at all levels. She has pioneered research to improve learning of advanced physics and has conducted seminal research on improving student understanding of quantum mechanics. She has also been a leading researcher focusing on research on assessment of learning in the context of physics and in improving student learning in physics courses at all levels. She has played a key role in research on the role of intuition and expertise in physics problem solving, which can be translated to improving students’ problem solving, reasoning and meta-cognitive skills. Her research includes both theoretical and empirical research to make students good problem solvers and independent learners.^[3] Singh’s research elucidates cognitive issues in learning physics, identifies sources of student difficulties in learning physics at both the introductory and advanced levels, and can be translated into the design and assessment of research-validated novel pedagogies that may significantly reduce these difficulties.^[3]

Other areas of research

In the past, Singh has conducted the following types of research in theoretical physics^[3]:

• The effect of quenched disorder on the nonlinear optical properties of conducting polymers.
• The electronic and conformational properties of conducting polymers in solution including the electronic energy gap, the density of states, the localization properties of the electronic states, the persistence and conjugation lengths, the optical absorption, and the distribution of bond angles and lengths using analytical methods and Monte Carlo simulations.
• The role of fluctuations in self organizing critical systems using a singular diffusion approach.
• The equilibrium thermodynamic properties of Diblock copolymers using the Landau-Ginzburg theory.
• The range of validity of the asymptotic forms of correlation functions and susceptibilities in one dimensional Hubbard model and the cross-over as a function of temperature, between the half-filled and non-half-filled behavior at low doping, using quantum Monte Carlo simulations.
• Ion transport and selectivity of ions in the transmembrane ion channels using Molecular Dynamics simulations.
• The phase behavior and thermodynamic properties of the polymer mixtures including the self-consistent determination of the chain conformation.
• Pattern formation in thin polymeric films, adsorption of polymers at patterned surfaces, and formation of ion-channels in lipid membranes using self-consistent field theory.

Singh’s Master’s project at IIT Kharagpur, India, involved preparing co-precipitated samples of superconducting YBCO and characterizing them using resistance measurements and scanning electron microscope measurements.

Other professional activities

Upon request from another alumnus from IIT, Singh recorded 130 half-hour lectures for the Topper Learning Channel.^[4] The physics lectures for 11th grade and 12th grade physics in India that she recorded focus on the Indian Central Board of Secondary Education (CBSE) curriculum, which is equivalent to college introductory calculus-based physics curriculum in the US. These lectures provide an extremely low cost alternative to expensive tutoring that many Indian parents cannot afford.

These video lectures incorporate research in physics education and help students with the difficulties they commonly have in learning various topics in physics and they also include research-based learning tools to engage students in the learning process. The videos start with a teaser which includes a real world application of physics.^[4] The teasers in the video lectures involve a concrete application of physics relevant for the topic of the lecture (e.g., in one teaser, Singh would be biking fast and the bike would be stable but when she would slow down, the bike would wobble and she would ask students why the bike was less stable when she slowed down and then invite them to join her in the interactive video lecture which would help them learn about it). The rest of the video lecture takes advantage of physics demonstrations and visualization tools to help students learn. All videos end with the line “And remember, it’s your universe…know the rules!”

Singh held the chair-line of the American Physical Society Forum on Education from 2009-2013^[5] and was the Chair of the Editorial board of Physical Review Special Topics Physics Education Research (PR-STPER) from 2010-2013. She chaired the second conference on graduate education in physics in 2013 and was the co-organizer of the first conference on graduate education in physics in 2008. She has co-organized two physics education research conferences in 2006 and 2007 and was the co-chair of the 2010 Gordon Conference on Physics Research and Education. She co-chaired the first conference which brought together physicists, chemists and engineers from various engineering departments to discuss the future of materials science and engineering education in 2008. She is passionate about increasing the participation of women and other underrepresented groups in physics at all levels and has conducted several workshops on related issues.