In his book, Against The Philosophical Tide: Essays In Popperian Critical Rationalism Danny Frederick does an awesome job at summarizing Popper's ideas. In one section he lays out some criteria, or procedures that Popper had to help us in our aim for better and better explanations. I found these to be tremendously helpful and I want to reproduce them here with some changes to the formatting for easier viewing.
References Danny Frederick Uses:
Popper, Karl. 1945. The Open Society and its Enemies, volumes 1 and 2. London: Routledge and Kegan Paul (1966 fifth, revised edition).
1949a. ‘Towards a Rational Theory of Tradition.’ In his 1963b, pp. 120-35.
1949b. ‘The Bucket and the Searchlight.’ In his 1972b, pp. 341-61 (Appendix).
1957a. ‘Science: Conjectures and Refutations.’
1957b. ‘The Aim of Science.’ In his 1983, pp. 131-46
1958. ‘On the Status of Science and of Metaphysics.’ In his 1963b, pp. 184-200.
1959. The Logic of Scientific Discovery. London: Hutchinson. __.
1961. ‘Addendum I: Facts, Standards and Truth.’ In his 1945, volume 2, pp. 369-396.
1963a. ‘Truth, Rationality, and the Growth of Scientific Knowledge.’ In his 1963b, pp. 215-50
1963a. ‘Truth, Rationality, and the Growth of Scientific Knowledge.’ In his 1963b, pp. 215-50
1963b. Conjectures and Refutations. London: Routledge and Kegan Paul (fourth edition, 1972)
1968a. ‘Epistemology Without a Knowing Subject.’ In his 1972b, pp. 106-52.
1968b. ‘On the Theory of the Objective Mind.’ In his 1972b, pp. 153-90
1971. ‘Conjectural Knowledge.’ In his 1972b, pp. 1-31.
1972a. ‘Two Faces of Commonsense.’ In his 1972b, pp. 32-105.
1972b. Objective Knowledge. Oxford: Clarendon.
1974a. ‘Intellectual Autobiography.’ In Paul Arthur Schilpp (ed.), 1974, volume 1 (pp. 3-181)
1974b. ‘Replies to My Critics.’ In P. A. Schilpp, ed., The Philosophy of Karl Popper, volume 2 (pp. 961-1197). La Salle, IL: Open Court.
1975. ‘The Rationality of Scientific Revolutions.’ In his 1994 (1-32) __. 1976. ‘The Myth of the Framework.’ In his 1994, pp. 33-64.
1982. Quantum Theory and the Schism in Physics. Totowa, NJ: Rowman and Littlefield.
1983. Realism and the Aim of Science. London: Routledge.
1994a. ‘Models, Instruments, and Truth.’ In his 1994b, pp. 154-84 (London: Routledge)
1994b. The Myth of the Framework, London: Routledge.
1994c. Knowledge and the Body-Mind Problem. London: Routledge.
Popper, Karl and Eccles, John. 1977. The Self and its Brain. London: Springer-Verlag (1983 edition).