In 1978 he was commissioned by the then Labour government to chair a comprehensive inquiry into the teaching of mathematics in primary and secondary schools in England and Wales. The committee of inquiry produced its report in 1982, published as Mathematics Counts but widely known as "the Cockcroft report".
- "Mathematics Counts". London: Her Majesty's Stationery Office. 1982. Archived from the original on January 20, 2013.
- Tony Crilly (2001), Memories of Sir Wilfred Cockcroft 1923–1999, The Mathematical Gazette 85 (502), 72. JSTOR 3620472
- Obituary, Bulletin of the London Mathematical Society (2005), 37, 149-155
- Short biography, and account of archives at Hull University, Access to Archives